Joinings of \(W^*\)-dynamical systems

DOI10.1016/j.jmaa.2008.01.056zbMath1151.37008arXiv0802.0827OpenAlexW2079892024MaRDI QIDQ2427257

Rocco Duvenhage

Publication date: 8 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0827

zbMATH Keywords

ergodicityconditional expectationjoinings\(W^{*}\)-dynamical systems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (10)

The modular symmetry of Markov maps ⋮ Diagonal couplings of quantum Markov chains ⋮ Balance between quantum Markov semigroups ⋮ Wasserstein distance between noncommutative dynamical systems ⋮ Ergodicity and mixing of \(W^*\)-dynamical systems in terms of joinings ⋮ \(C^*\)-Fermi systems and detailed balance ⋮ Noncommutative joinings. II ⋮ Free joinings of \(C^{*}\)-dynamical systems ⋮ Fermionic quantum detailed balance and entanglement ⋮ ON TENSOR PRODUCTS OF WEAK MIXING VECTOR SEQUENCES AND THEIR APPLICATIONS TO UNIQUELY E-WEAK MIXING C^*-DYNAMICAL SYSTEMS

Cites Work

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• An example of a measure preserving map with minimal self-joinings, and applications
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Generalized K-flows
• Quantum \(K\)-systems
• An introduction to joinings in ergodic theory
• Large Symmetric Sets in Amenable Groups and the Individual Ergodic Theorem
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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