Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples

Details Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples

2008-04-11

arxiv.org/abs/0804.1864v3

Mathematics

Operator Algebras

After the elemenitation in Version 2 of a false class of examples in Version 1, we now provide also correct examples for unita

Scientific paper

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 particular, we discuss the structure of the generators of norm continuous semigroups on B(G) leaving a maximal commutative subalgebra invariant and show that there exists Markov CP-semigroups on M_d without invariant maximal commutative subalgebras for any d>2.

Affiliated with

Also associated with

No associations

Rating

Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximal Commutative Subalgebras Invariant for CP-Maps: (Counter-)Examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706763