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Restrictions of CP-Semigroups to Maximal Commutative Subalgebras

We give a necessary and sufficient criterion when a normal CP-map on a von Neumann algebra admits a restriction to a maximal commutative subalgebra. We apply this result to give a far reaching generalization of Rebolledo's sufficient criterion for the Lindblad generator of a Markov semigroup on B(G).

preprint2007arXivOpen access
Franco FagnolaMichael Skeide
math.OA
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Franco FagnolaMichael Skeide

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