Restrictions of CP-Semigroups to Maximal Commutative Subalgebras
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چکیده
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). This work is supported by research funds of Italian MIUR (PRIN 2005). MS is supported by research funds of University of Molise (Dipartimento S.E.G.e S.). 2000 AMS-Subject classification: 46L53; 46L55; 46L08; 60J25; 81S25
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تاریخ انتشار 2007