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Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups (2203.00341v1)
Published 1 Mar 2022 in math.OA, math-ph, math.FA, math.MP, and quant-ph
Abstract: In this note we prove a refined version of the Christensen-Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem.
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