A remark on invariance of quantum Markov semigroups
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In [3, 9], using the theory of noncommutative Dirichlet formsin the sense of Cipriani [6] and the symmetric embedding map, authorsconstructed the KMS-symmetric Markovian semigroup {St}t≥0 on a vonNeumann algebra M with an admissible function f and an operator x∈M . We give a sucient and necessary condition for x so that the semigroup {St}t≥0 acts separately on diagonal and off-diagonal operatorswith respect to a basis and study some results.
Abstract
In [3, 9], using the theory of noncommutative Dirichlet formsin the sense of Cipriani [6] and the symmetric embedding map, authorsconstructed the KMS-symmetric Markovian semigroup {St}t≥0 on a vonNeumann algebra M with an admissible function f and an operator x∈M . We give a sucient and necessary condition for x so that the semigroup {St}t≥0 acts separately on diagonal and off-diagonal operatorswith respect to a basis and study some results.
참고문헌 (11)
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