Marius Mantoiu, Radu Purice
The Algebra of Observables in a Magnetic Field
(165K, Postscript)

ABSTRACT.  We shall introduce a $C^*$-algebra containig the functional calculus 
of a large class of Schroedinger operators with variable magnetic 
fields. This is motivated by some recent operator algebraic methods 
for analyzing the essential spectrum and the regions of non-propagation 
and in the same time by the interest of elaborating a gauge-invariant 
pseudodifferential calculus in the presence of a variable magnetic 
field. Our results concerning the affiliation of the magnetic Laplacian 
to the mentioned $C^*$-algebra are the main technical ingredients for 
the type of developments mentioned above.