03-142 Changsoo Bahn, Chul Ki Ko and Yong Moon Park

Dirichlet forms and symmetric Markovian semigroups on Z_2-graded von Neumann algebras (405K, Postscript) Mar 28, 03

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 03-142.src( 03-142.keywords , CAR#mp-arc#.ps )