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math.OA2008★ 5 cited
Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples
B. V. Rajarama Bhat, Franco Fagnola, Michael Skeide
We solve, mainly by counterexamples, many natural questions regarding maximal commutative subalgebras invariant under CP-maps or semigroups of CP-maps on a von Neumann algebra. In…
math.OA2007
Restrictions of CP-Semigroups to Maximal Commutative Subalgebras
Franco Fagnola, Michael Skeide
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…