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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
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