Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
Operator Algebras
2022-03-02 v1 Mathematical Physics
Functional Analysis
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2203.00341,
title = {Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups},
author = {Melchior Wirth},
journal= {arXiv preprint arXiv:2203.00341},
year = {2022}
}