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In this note we prove a refined version of the Christensen-Evans theorem forgenerators of uniformly continuous GNS-symmetric quantum Markov semigroups. Weuse this result to show the existence of GNS-symmetric extensions ofGNS-symmetric quantum Markov semigroups. In particular, this implies that thegenerators of GNS-symmetric quantum Markov semigroups on finite-dimensional vonNeumann algebra can be written in the form specified by Alicki's theorem.

Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups