Restrictions of CP-Semigroups to Maximal Commutative Subalgebras
Operator Algebras
2013-11-20 v1
Abstract
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).
Cite
@article{arxiv.math/0703001,
title = {Restrictions of CP-Semigroups to Maximal Commutative Subalgebras},
author = {Franco Fagnola and Michael Skeide},
journal= {arXiv preprint arXiv:math/0703001},
year = {2013}
}