Restrictions of CP-Semigroups to Maximal Commutative Subalgebras

Details Restrictions of CP-Semigroups to Maximal Commutative Subalgebras Restrictions of CP-Semigroups to Maximal Commutative Subalgebras

2007-02-28

arxiv.org/abs/math/0703001v1

Mathematics

Operator Algebras

Scientific paper

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).

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