A remark on invariance of quantum Markov semigroups

Veni Choi; Chul Ki Ko

doi:10.4134/CKMS.2008.23.1.081

A remark on invariance of quantum Markov semigroups

Veni Choi, Chul Ki Ko

University College

Research output: Contribution to journal › Article

Abstract

In [3, 9], using the theory of noncommutative Dirichlet forms in the sense of Cipriani [6] and the symmetric embedding map, authors constructed the KMS-symmetric Markovian semigroup {S_t}_t≥o on a von Neumann algebra M with an admissible function f and an operator x ∈ M. We give a sufficient and necessary condition for x so that the semigroup {S_t}_t≥o acts separately on diagonal and off-diagonal operators with respect to a basis and study some results.

Original language	English
Pages (from-to)	81-93
Number of pages	13
Journal	Communications of the Korean Mathematical Society
Volume	23
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.2008.23.1.081
Publication status	Published - 2008 Jan 1

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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Choi, V., & Ko, C. K. (2008). A remark on invariance of quantum Markov semigroups. Communications of the Korean Mathematical Society, 23(1), 81-93. https://doi.org/10.4134/CKMS.2008.23.1.081

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