Content-Type: multipart/mixed; boundary="-------------0005290502287" This is a multi-part message in MIME format. ---------------0005290502287 Content-Type: text/plain; name="00-246.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="00-246.keywords" quantum spin chain ; split property of pure states ; symmetry breaking ---------------0005290502287 Content-Type: application/postscript; name="ladder.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="ladder.ps" %!PS-Adobe-2.0 %%Creator: dvi2ps %%Title: ladder4.dvi %%Pages: (atend) %%BoundingBox: 0 0 595 842 %%DocumentPaperSizes: A4 %%Orientation: Portrait %%EndComments %%BeginFile: /usr/local/lib/dvi2ps/dvi2.ps % /TeXDict 300 dict def TeXDict begin /inch { 72 mul } bind def /largepaperarray [ /letter /legal /11x17 /b4 /b5 /a5 /a4 /a3 ] def /smallpaperarray [ /note dup where { pop }{ pop /lettersmall dup where { pop }{ pop /letter } ifelse } ifelse /legal /11x17 /b4 /b5 /a5 /a4small dup where { pop }{ pop /note dup where { pop }{ pop /a4 } ifelse } ifelse /a3 ] def /setpaper { papertray { dup where { exch get exec }{ pop } ifelse }{ pop } ifelse } bind def /trayarray [ /lettertray /legaltray /11x17tray /b4tray /b5tray /a5tray /a4tray /a3tray ] def /settray { dup statusdict exch known manualfeed not and { mark exch statusdict begin load { exec } stopped { $error /newerror get { $error /errorname get /rangecheck eq { (Tray not found, using default tray.\n) print flush TeXDict /papertray false put }{ handleerror } ifelse $error /newerror false put } if } if end cleartomark }{ pop } ifelse } bind def /papertray true def /widtharray [ 8.5 inch 8.5 inch 11 inch 9.84 inch 6.93 inch 5.83 inch 8.27 inch 11.69 inch ] def /heightarray [ 11 inch 14 inch 17 inch 13.9 inch 9.84 inch 8.27 inch 11.69 inch 16.54 inch ] def /xoffset 0 def /yoffset 0 def /leftm 72 def /topm 72 def /landscape false def /manualfeed false def /pagesetup { dup widtharray exch get /paperwidth exch def dup heightarray exch get /paperheight exch def dup trayarray exch get settray large {largepaperarray}{smallpaperarray} ifelse exch get setpaper } bind def /@letter {0 pagesetup} def /@legal {1 pagesetup} def /@tabloid {2 pagesetup} def /@b4 {3 pagesetup} def /@b5 {4 pagesetup} def /@a5 {5 pagesetup} def /@a4 {6 pagesetup} def /@a3 {7 pagesetup} def /@landscape {/landscape true def} bind def /@manualfeed { /manualfeed true def statusdict /manualfeed known { statusdict /manualfeed true put statusdict /manualfeedtimeout 120 put } if } bind def /@large { /large true def } bind def /@small { /large false def } bind def /@envelope { /xoffset 4.28 inch def /yoffset 1.5 inch def @letter } bind def /COPIES { /#copies exch def } bind def /NF { /newname exch def /fsize exch def /corr exch def newname 7 dict def newname load begin /FontType 3 def /FontMatrix [corr 0 0 corr neg 0 0] def /FontBBox [0 0 1 1] def /BitMaps fsize array def /BuildChar /CharBuilder load def /Encoding 256 array def 0 1 255 {Encoding exch /.notdef put} for end newname newname load definefont pop } bind def /ch-image {ch-data 0 get} bind def /ch-width {ch-data 1 get} bind def /ch-height {ch-data 2 get} bind def /ch-xoff {ch-data 3 get} bind def /ch-yoff {ch-data 4 get} bind def /ch-tfmw {ch-data 5 get} bind def /CharBuilder { /ch-code exch def /font-dict exch def /ch-data font-dict /BitMaps get ch-code get def ch-data null eq not { ch-tfmw 0 ch-xoff neg ch-yoff neg ch-width ch-xoff sub ch-height ch-yoff sub setcachedevice ch-width ch-height true [1 0 0 1 ch-xoff ch-yoff] {ch-image} imagemask } if } bind def /BFT { /bf-v exch def /bf-h exch def findfont [bf-h 0 0 bf-v 0 0] makefont def } bind def /BFE /BFT load def /BFF { /bf-v exch def /bf-h exch def /savecurfont currentfont def findfont dup setfont 3 -1 roll /bf-stand exch def [ bf-stand stringwidth pop dup bf-h exch div exch bf-v exch div 0 0 3 -1 roll 0 0 ] makefont def savecurfont setfont } bind def /SF /setfont load def /s3 3 string def /D { /ch-code exch def /ch-data exch def currentfont /BitMaps get ch-code ch-data put currentfont /Encoding get ch-code dup s3 cvs cvn put } bind def /BP { userdict /bop-hook known { bop-hook } if /SaveImage save def xoffset yoffset translate leftm topm landscape { exch translate 90 rotate }{ paperheight exch sub translate } ifelse 72 Resolution div dup neg scale 0 0 moveto } bind def /EP { showpage SaveImage restore userdict /eop-hook known { eop-hook } if } bind def /START { userdict /start-hook known { start-hook } if /DVImag exch def /magscale true def /Resolution exch def } bind def /END { end userdict /end-hook known { end-hook } if } bind def /l /lineto load def /p /moveto load def /r { 0 rmoveto } def /s /show load def /ru { /dy exch neg def /dx exch def /x currentpoint /y exch def def newpath x y moveto dx 0 rlineto 0 dy rlineto dx neg 0 rlineto closepath fill x y moveto } bind def /TeXscale { 65781.76 div } def /DocumentInitState [ matrix currentmatrix currentlinewidth currentlinecap currentlinejoin currentdash currentgray currentmiterlimit ] cvx def /startTexFig { /SavedState save def userdict maxlength dict begin currentpoint transform DocumentInitState setmiterlimit setgray setdash setlinejoin setlinecap setlinewidth setmatrix itransform moveto magscale { DVImag dup scale } if /ury exch TeXscale def /urx exch TeXscale def /lly exch TeXscale def /llx exch TeXscale def /y exch TeXscale def /x exch TeXscale def currentpoint /cy exch def /cx exch def /sx x urx llx sub div def /sy y ury lly sub div def sx sy scale cx sx div llx sub cy sy div ury sub translate /DefFigCTM matrix currentmatrix def /initmatrix { DefFigCTM setmatrix } def /defaultmatrix { DefFigCTM exch copy } def /initgraphics { DocumentInitState setmiterlimit setgray setdash setlinejoin setlinecap setlinewidth setmatrix DefFigCTM setmatrix } def /showpage {} def /erasepage {} def /copypage {} def } def /clipFig { currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll exch lineto exch lineto exch lineto closepath clip newpath moveto } def /doclip { llx lly urx ury clipFig } def /endTexFig { end SavedState restore } def /@SpecialDefaults { /hsi paperwidth inch def /vsi paperheight inch def /hof 0 def /vof 0 def /hsc 1 def /vsc 1 def /rotat 0 def /CLIP false def /BBOX false def /EPSF false def /ECL false def } bind def /@ecl {/ECL true def} bind def /@clip {/CLIP true def} bind def /@hsize {/hsi exch def @clip} bind def /@vsize {/vsi exch def @clip} bind def /@hoffset {/hof exch def} bind def /@voffset {/vof exch def} bind def /@scaleunit 1 def /@hscale {@scaleunit div /hsc exch def} bind def /@vscale {@scaleunit div /vsc exch def} bind def /@rotation {/rotat exch def} bind def /@angle /@rotation load def /@rwi {10 div /hsi exch def} bind def /@rhi {10 div /vsi exch def} bind def /@llx {/llx exch def /BBOX true def /hsi 0 def /vsi 0 def} bind def /@lly {/lly exch def} bind def /@urx {/urx exch def} bind def /@ury {/ury exch def} bind def /@bbox {{@clip}if @ury @urx @lly @llx} bind def /@setclipper { CLIP { newpath 0 0 moveto hsi 0 rlineto 0 vsi rlineto hsi neg 0 rlineto closepath clip } if } bind def /@beginspecial { /SpecialSave save def /dict_count countdictstack def /op_count count 1 sub def currentpoint transform initgraphics itransform translate magscale { DVImag dup scale } if landscape {90 rotate} if @SpecialDefaults @MacSetUp } bind def /@setspecial { hof vof translate BBOX { rotat rotate hsi 0 eq { vsi 0 eq { hsc vsc }{ vsi ury lly sub div dup }ifelse }{ vsi 0 eq { hsi urx llx sub div dup }{ hsi urx llx sub div vsi ury lly sub div } ifelse } ifelse scale llx neg ECL{ury}{lly}ifelse neg translate CLIP { newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip } if newpath }{ @setclipper hsc vsc scale rotat rotate } ifelse /CTM matrix currentmatrix def end /letter {} def /note {} def /legal {} def /11x17 {} def /b4 {} def /b5 {} def /a5 {} def /a4 {} def /a4small {} def /a3 {} def /showpage {} def /copypage {} def /erasepage {} def /initmatrix {TeXDict /CTM get setmatrix} bind def /defaultmatrix {TeXDict /CTM get exch copy} bind def /*initclip /initclip load def /initclip { TeXDict begin *initclip matrix currentmatrix CTM setmatrix newpath BBOX { llx lly moveto urx lly lineto urx ury lineto llx ury lineto }{ 0 0 moveto hsi 0 rlineto 0 vsi rlineto hsi neg 0 rlineto } ifelse closepath clip setmatrix end } bind def /initgraphics { initmatrix newpath initclip 1 setlinewidth 0 setlinecap 0 setlinejoin [] 0 setdash 0 setgray 10 setmiterlimit } bind def /languagelevel where { pop languagelevel 1 ne { false setstrokeadjust false setoverprint } if } if } bind def /@MacSetUp { userdict /md known { userdict /md get type /dicttype eq { md /txpose known { md /txpose {pxs pys neg scale} put } if md /cp known { md /cp {pop pop pm restore} put } if } if } if } bind def /@push { gsave currentpoint translate dup scale newpath } bind def /@pop { grestore } bind def /@ar { matrix currentmatrix 7 -2 roll moveto currentpoint translate newpath 5 -2 roll scale 0 0 1 6 -2 roll arc setmatrix } bind def /@RGB /setrgbcolor load def /@HSB /sethsbcolor load def /@CMYK /setcmykcolor dup where { pop load }{ pop { 1 sub 4 1 roll 3 { 3 index add neg dup 0 lt {pop 0} if 3 1 roll } repeat setrgbcolor pop } bind } ifelse def /normalscale { Resolution 72 div Resolution 72 div neg scale magscale { DVImag dup scale } if 0 setgray } def end /@endspecial { TeXDict begin count op_count sub {pop} repeat countdictstack dict_count sub {end} repeat SpecialSave restore } bind def /SDict TeXDict def %%EndFile %%BeginFile: /usr/local/lib/dvi2ps/fonts/ascfix-c.ps % This file is included in this dvi2ps (j-version) kit by the courtesy of % Matsushita Electric Industrial Co., Ltd. You are free to distribute this % file as a part of this dvi2ps kit, but if you use this file as a part of % your own program and want to re-distribute the program, you should contact % miyabe@isl.mei.co.jp, kakiuchi@isl.mei.co.jp % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Following procedures are used to define new japanese font which has %%% correct metrics. %%% Added by T.Kakiuchi (kakiuchi@sy6.isl.mei.co.JP) 89/5/19 %%% Copyright (c) Matsushita Electric Industrial Co.,Ltd. 1990 %%% % If the packed-array facility is available, this program sets the % array-packing mode. %systemdict /setpacking known { % /savepacking currentpacking def % true setpacking %} if TeXDict begin % Procedure to make a new font which has new metrics. /Set-New-Metrics % [New-FNam][FNam][Metrics-array] {/Set-Metrics exch def % [New-FNam][FNam] Set-Metrix=[Metrix-Array] findfont % [New-FNam][FDic] /OrigCompFont exch def % [New-FNam] OrigCompFont=[FDic] /NewCompFontName exch def % NewCompFontName=[New-FNam] % Create new composite font. OrigCompFont dup % [FDic][FDic] length dict % [FDic][dict] /NewCompFont exch def % [FDic] NewCompFont=[dict] {1 index % [FDic][key][value][key] /FID ne % [FDic][key][value][T/F] 2 index /UniqueID ne and % [FDic][key][value][T/F] {NewCompFont 3 1 roll put} % if TRUE NewCompFont <- {key,value} {pop pop} ifelse } forall OrigCompFont /FDepVector get % [FDepVector] dup length array % [FDepVector][array] copy % [array] (=[FDepVector]) /NewFDepVector exch def % NewFDepVector=[arrray] NewCompFont /FDepVector NewFDepVector put % [NewCompFont] <- {/FDepVector, NewFDepVector} NewCompFont /FontName NewCompFontName put % [NewCompFont] <- {/FontName, NewCompFontName} Set-Metrics % [code,NewBaseFontName,Metrics-Array] {dup 0 get /Code exch def % set Code dup 1 get /NewBaseFontName exch def % set NewBaseFontName 2 get /Metric-Array exch def % set Metrics-Array % Extract base font and its index to FDepVector. /Index OrigCompFont /Encoding get Code get def /OrigBaseFont NewFDepVector Index get def % Set Metric-Dictionary Metric-Array length dict /Metric-Dict exch def Metric-Dict begin Metric-Array {exec def} forall end % Create new base font. OrigBaseFont dup % [OrgFont][OrgFont] length 2 add % [OrgFont][2+current size] dict % [OrgFont][dict] /NewBaseFont exch def % [OrgFont] /NewBaseFont=[dict] {1 index % [OrgFont][key][value][key] /FID ne % [OrgFont][key][value][T/F] 2 index /UniqueID ne and % [OrgFont][key][value][T/F] {NewBaseFont % [OrgFont][key][value][NewBaseFont] 3 1 roll % [OrgFont][NewBaseFont][key][value] put} % [OrgFont] {pop pop} ifelse } forall NewBaseFont /Kusumi-Metrics Metric-Dict put NewBaseFont % [OrgFont][NewBaseFont] /CDevProc {currentfont /Kusumi-Metrics get exch 2 copy known {get % w0x w0y llx lly urx ury w1x w1y vx vy new-llx dup % w0x w0y llx lly urx ury w1x w1y vx vy new-llx new-llx 8 -1 roll % w0x w0y llx lly ury w1x w1y vx vy new-llx new-llx urx 10 -1 roll % w0x w0y lly ury w1x w1y vx vy new-llx new-llx urx llx sub add % w0x w0y lly ury w1x w1y vx vy new-llx new-urx 7 1 roll % w0x w0y lly new-urx ury w1x w1y vx vy new-llx 8 1 roll % w0x w0y new-llx lly new-urx ury w1x w1y vx vy } {pop pop} ifelse } bind put % Regist to FDepVector NewFDepVector Index NewBaseFontName NewBaseFont definefont put } forall NewCompFontName NewCompFont definefont pop % Define [NewCompFont] as [NewCompFontName] } bind def % Definition of new metrics for /Ryumin-Light-H /Ryumin-Metrics [ [33/Ryumin-Light-H-33[ {/c2B 56.3327 } {/c78 36.5515 } {/c22 127.507 } {/c54 52.5065 } {/c4B 137.007 } {/c39 35.7169 } {/c27 105.323 } {/c42 79.8026 } {/c30 106.905 } {/c6B 129.961 } {/c50 192.016 } {/c47 101.333 } {/c59 104.456 } {/c35 124.507 } {/c3E 51.8327 } {/c2C 81.7527 } {/c23 102.007 } {/c4E 132.007 } {/c2A 111.833 } {/c43 153.333 } {/c55 52.5065 } {/c4A 137.007 } {/c26 106.333 } {/c51 192.017 } {/c2D 73.195 } {/c46 101.833 } {/c58 104.457 } {/c6A 53.6868 } {/c71 162.717 } {/c68 12.747 } {/c56 87.0065 } {/c4D 120.007 } {/c29 50.4616 } {/c52 99.5065 } {/c5B 122.007 } {/c37 145.717 } {/c6D 73.5612 } {/c49 95.824 } {/c2E 73.1949 } {/c72 45.6719 } {/c25 106.833 } {/c69 33.1968 } {/c70 147.722 } {/c57 87.0065 } {/c33 123.507 } {/c53 99.5065 } {/c28 101.333 } {/c4C 120.007 } {/c2F 86.4865 } {/c48 95.6039 } {/c5A 122.007 } {/c6C 154.132 } {/c36 154.717 } {/c24 103.833 } {/c4F 131.507 } ]] [36/Ryumin-Light-H-36[ {/c30 154.133 } {/c27 97.2168 } {/c39 76.6303 } {/c23 76.1769 } {/c67 149.762 } {/c43 67.7751 } {/c6E 77.4092 } {/c31 105.385 } {/c63 75.9087 } {/c26 241.525 } {/c6A 273.126 } {/c29 82.2642 } {/c32 65.1122 } {/c25 184.155 } {/c21 83.9483 } {/c65 90.2671 } {/c3A 51.3751 } {/c2F 295.128 } ]] [37/Ryumin-Light-H-37[ {/c22 140.608 } {/c6F 163.078 } {/c30 99.7332 } {/c27 57.7171 } {/c42 59.748 } {/c47 67.1082 } {/c35 83.0882 } {/c3E 72.1387 } {/c23 138.672 } {/c67 152.293 } {/c4E 197.608 } {/c2A 134.608 } {/c43 117.717 } {/c6E 126.697 } {/c31 115.108 } {/c55 168.068 } {/c63 80.217 } {/c4A 116.233 } {/c26 162.618 } {/c75 124.712 } {/c3F 192.108 } {/c46 123.608 } {/c6A 239.098 } {/c5F 258.608 } {/c44 162.608 } {/c56 84.1834 } {/c29 108.717 } {/c76 83.6869 } {/c32 61.9606 } {/c64 109.108 } {/c49 202.688 } {/c25 122.757 } {/c72 193.323 } {/c40 110.209 } {/c69 178.108 } {/c45 91.8148 } {/c57 89.1683 } {/c21 107.237 } {/c65 49.507 } {/c2F 187.108 } {/c41 97.8211 } {/c48 277.108 } {/c36 51.291 } {/c61 191.608 } {/c24 186.108 } {/c3D 164.236 } ]] ] def % Definition of new metrics for /GothicBBB-Medium-H /Gothic-Metrics [ [33/GothicBBB-Medium-H-33[ {/c2B 62.8327 } {/c78 11.5265 } {/c22 129.507 } {/c54 58.5065 } {/c4B 136.007 } {/c39 14.7171 } {/c27 104.333 } {/c42 76.8826 } {/c30 110.507 } {/c6B 138.987 } {/c50 178.072 } {/c47 104.833 } {/c59 107.036 } {/c35 67.0065 } {/c3E -13.1673 } {/c2C 78.8429 } {/c23 98.9866 } {/c4E 132.507 } {/c2A 132.288 } {/c43 149.333 } {/c55 58.5065 } {/c4A 136.007 } {/c26 102.833 } {/c51 177.982 } {/c2D 55.8326 } {/c46 104.333 } {/c58 107.037 } {/c6A 43.6568 } {/c71 130.717 } {/c68 5.70184 } {/c56 93.5065 } {/c4D 120.007 } {/c29 81.9568 } {/c52 97.5065 } {/c5B 121.007 } {/c37 148.717 } {/c6D 75.5065 } {/c49 56.9765 } {/c2E 55.8327 } {/c72 101.717 } {/c25 102.833 } {/c69 20.1768 } {/c70 109.182 } {/c57 94.0065 } {/c33 76.5065 } {/c53 97.5065 } {/c28 104.333 } {/c4C 120.007 } {/c2F 102.506 } {/c48 56.0265 } {/c5A 121.007 } {/c6C 157.007 } {/c36 133.717 } {/c24 105.833 } {/c4F 132.507 } ]] [36/GothicBBB-Medium-H-36[ {/c30 154.608 } {/c27 97.2418 } {/c39 93.5732 } {/c23 58.2168 } {/c67 106.287 } {/c43 51.2172 } {/c6E 71.752 } {/c31 128.098 } {/c63 52.2169 } {/c26 207.583 } {/c6A 211.098 } {/c29 51.7468 } {/c32 69.0981 } {/c25 155.272 } {/c21 86.707 } {/c65 84.167 } {/c3A 70.6131 } {/c2F 256.108 } ]] [37/GothicBBB-Medium-H-37[ {/c22 82.6082 } {/c6F 135.608 } {/c30 91.1081 } {/c27 74.2168 } {/c42 55.1081 } {/c47 49.6081 } {/c35 87.1181 } {/c3E 83.6081 } {/c23 102.766 } {/c67 113.717 } {/c4E 163.334 } {/c2A 111.608 } {/c43 84.5454 } {/c6E 96.2168 } {/c31 77.6081 } {/c55 140.608 } {/c63 67.7169 } {/c4A 75.6082 } {/c26 149.118 } {/c75 110.257 } {/c3F 144.608 } {/c46 96.6082 } {/c6A 225.578 } {/c5F 215.108 } {/c44 117.481 } {/c56 91.1081 } {/c29 72.2168 } {/c76 63.2168 } {/c32 48.6081 } {/c64 96.6081 } {/c49 209.108 } {/c25 104.207 } {/c72 165.608 } {/c40 76.6081 } {/c69 129.108 } {/c45 72.1081 } {/c57 64.6481 } {/c21 47.2171 } {/c65 41.7168 } {/c2F 135.608 } {/c41 97.6082 } {/c48 262.608 } {/c36 52.1181 } {/c61 188.976 } {/c24 148.446 } {/c3D 123.059 } ]] ] def end % TeXDict %systemdict /setpacking known { % savepacking setpacking %} if %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%EndFile %%EndProlog %%BeginSetup %%PaperSize: A4 %%Feature: *ManualFeed False %%Feature: *Resolution 400 TeXDict begin @large @a4 1.000 52 /f0 NF f0 SF [ 24 23 -1 0 27.611] 3 D [<0FC01860303070386018E01CE01CE01CE01CE01CE01CE01CE01CE01CE01C601860187038303018600FC0> 16 21 -2 0 20.293] 48 D [ 16 21 -3 0 20.293] 49 D [ 16 21 -2 0 20.293] 50 D [<0FC030E04070C038E03CE03C003C003C0038007000E00FC000C000700070007870387078607030E00FC0> 16 21 -2 0 20.293] 51 D 1.000 111 /f1 NF f1 SF [ 32 23 -3 0 30.622] 82 D [<1F806060E010C008C000C000E000E000E0007000303818380C1003E0> 16 14 -3 0 18.568] 99 D [<3C3862E4C1E2C0E2C0E2C0E0E070E070E0707070703838381C7807B8001C001C001C001C000E000E000E000E003F> 16 23 -3 0 21.335] 100 D [<7C00C600E300638001C001C001C001C000E000E000E000E0007000700070087004380438023001E000000000000000000000 00000008001C000C> 16 29 -1 6 16.988] 106 D [<30E8E8E8E8E070707070383838381C1C1C1C0E0E0E0E3F> 8 23 -3 0 13.337] 108 D [<180600E0380E01901C0703881C0703841C0701C41C0701C00E0381C00E0380E00E0380E08E0380E04701C0604781A0604663 98E03C1E0780> 32 14 -2 0 36.321] 109 D [<180700380C801C1C401C1C201C0E201C0E000E0E000E07000E07008E07004703004783004647003C3E00> 24 14 -2 0 25.559] 110 D 1.000 4 /f2 NF f2 SF [ 24 2 -4 -7 31.978] 0 D [<030003000300C30CF33C3B700FC00FC03B70F33CC30C030003000300> 16 14 -3 -1 21.216] 3 D 1.000 94 /f3 NF f3 SF [ 32 31 -2 0 32.624] 3 D [<01F000071C001C07001803003803803803807001C07001C07001C0F001E0F001E0F001E0F001E0F001E0F001E0F001E0F001 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1020 p (of)s f9 SF 18 r (\031)s f8 SF 2 r (\()s f10 SF (A)s f4 SF 913 1030 p (L)s f8 SF 948 1020 p (\))s 18 r (.)s 27 r (The)s 17 r (inclusion)s 18 r (of)s 17 r (the)s 18 r (v)s -1 r (on)s 16 r (Neumann)s 18 r (algebras)s f9 SF 17 r (M)s f3 SF 2331 1030 p (1)s f10 SF 2376 1020 p (\032)s f9 SF 18 r (M)s f3 SF 2509 1030 p (2)s f8 SF 0 1101 p (is)s 17 r (split)s 16 r (if)s 17 r (it)s 17 r (con)s -1 r (tains)s 15 r (an)s 17 r (in)s -1 r (termediate)s 16 r (t)s -1 r (yp)s 1 r (e)s 17 r (I)s 16 r (factor)s f9 SF 17 r (N)s f8 SF 24 r (,)s f9 SF 17 r (M)s f3 SF 1559 1111 p (1)s f10 SF 1604 1101 p (\032)s f9 SF 19 r (N)s f10 SF 25 r (\032)s f9 SF 18 r (M)s f3 SF 1885 1111 p (2)s f8 SF 1911 1101 p (.)s 27 r (The)s 17 r (inclusion)s 17 r (is)s 16 r (split)s 0 1181 p (if)s 22 r (and)s 22 r (only)s 22 r (if)s 23 r (the)s 22 r (state)s f9 SF 22 r (')s f8 SF 22 r (is)s 22 r (split..)s 30 r (The)s 23 r (split)s 22 r (w)s -1 r (as)s 21 r (pro)s -1 r (v)s -2 r (ed)s 22 r (\014rst)s 22 r (for)s 22 r 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