Changsoo Bahn, Chul Ki Ko and Yong Moon Park
Dirichlet forms and symmetric Markovian semigroups on Z_2-graded von Neumann algebras
(405K, Postscript)

ABSTRACT.  We extend the construction of Dirichlet forms and symmetric Markovian semigroups on standard forms of von Neumann algebras given in [Infin. Dimens. Anal. Quantum Probab. Relat Top. Vol. 3, 1-14 (2000)] 
 to the case of Z_2-graded von Neumann algebras. We apply the extension to construct symmetric Markovian semigroups on CAR algebras 
 with respect to gauge invariant quasi-free states and also investigate detailed properties such as ergodicity of the semigroups.