Restrictions of CP-semigroups to maximal commutative subalgebras

• Autorzy: Franco Fagnola , Michael Skeide
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 81S25: Quantum stochastic calculus
• 46L53: Noncommutative probability and statistics
• 46L08: C * -modules
• 46L55: Noncommutative dynamical systems
• 60J25: Continuous-time Markov processes on general state spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 121-132

Daty

wydano

2007

Twórcy

autor

Franco Fagnola

• Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy

autor

Michael Skeide

• Dipartimento S.E.G.e S., Università degli Studi del Molise, Via de Sanctis, 86100 Campobasso, Italy

Identyfikatory

DOI

10.4064/bc78-0-8