Properties of ergodic projection for quantum dynamical semigroups. (English) Zbl 0910.46050
Summary: We study properties of ergodic projections for quantum dynamical semigroups on \(W^*\)-algebras. In particular, we describe the normal and singular parts of this projection, characterize normal invariant functionals, and derive some conclusions for ergodic semigroups.
MSC:
46L55 | Noncommutative dynamical systems |
81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |