Dirichlet forms and symmetric markovian semigroups on ℤ 2-Graded von neumann algebras

Changsoo Bahn, Chul Ki Ko, Yong Moon Park

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We extend the construction of Dirichlet forms and symmetric Markovian semigroups on standard forms of von Neumann algebras given in [1] to the case of ℤ2-graded von Neumann algebras. As an application of the extension, we 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.

Original languageEnglish
Pages (from-to)823-845
Number of pages23
JournalReviews in Mathematical Physics
Volume15
Issue number8
DOIs
Publication statusPublished - 2003 Oct 1

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Dirichlet Form
Graded Algebra
Von Neumann Algebra
algebra
Semigroup
Scientific notation
Ergodicity
Gauge
Algebra
Invariant

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Dirichlet forms and symmetric markovian semigroups on ℤ 2-Graded von neumann algebras. / Bahn, Changsoo; Ko, Chul Ki; Park, Yong Moon.

In: Reviews in Mathematical Physics, Vol. 15, No. 8, 01.10.2003, p. 823-845.

Research output: Contribution to journalArticle

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