Decomposition of operator semigroups on W\(^{\ast}\)-algebras

DOI10.1007/s00233-011-9362-2zbMath1250.47043arXiv1106.0287OpenAlexW2011941351WikidataQ58044273 ScholiaQ58044273MaRDI QIDQ415546

Marco Schreiber, András Bátkai, Dávid Kunszenti-Kovács, Ulrich Groh

Publication date: 8 May 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0287

zbMATH Keywords

von Neumann algebrasasymptotics of \(W^*\)-dynamical systemscompact semitopological semigroupsJacobs-DeLeeuw-Glicksberg decomposition

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Decomposition theory for (C^*)-algebras (46L45) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (8)

Spectral properties of Markov semigroups in von Neumann algebras ⋮ Environment induced decoherence for Markovian evolutions ⋮ The general structure of the decoherence-free subalgebra for uniformly continuous quantum Markov semigroups ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ Quantum dynamical semigroups and decoherence ⋮ On period, cycles and fixed points of a quantum channel ⋮ Absorption in invariant domains for semigroups of quantum channels ⋮ The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups

Cites Work

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• Principles of harmonic analysis
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