Restrictions of CP-semigroups to maximal commutative subalgebras
Franco Fagnola ; Michael Skeide
Banach Center Publications, Tome 75 (2007), p. 121-132 / Harvested from The Polish Digital Mathematics Library
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We give a necessary and sufficient criterion for a normal CP-map on a von Neumann algebra to admit 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).

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282153 
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     author = {Franco Fagnola and Michael Skeide},
     title = {Restrictions of CP-semigroups to maximal commutative subalgebras},
     journal = {Banach Center Publications},
     volume = {75},
     year = {2007},
     pages = {121-132},
     zbl = {1140.46325},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-8}
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Franco Fagnola; Michael Skeide. Restrictions of CP-semigroups to maximal commutative subalgebras. Banach Center Publications, Tome 75 (2007) pp. 121-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-8/