Ergodic properties of automorphisms on the rotation algebra

DOI10.1016/S0034-4877(97)89755-8zbMath0914.46057MaRDI QIDQ1373689

Heide Narnhofer

Publication date: 1 February 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebraautomorphismsnoncommutative algebrasergodic propertiesrotation algebrainvariant statescluster propertiestracial representationConnes-Størmer entropygeneralized crossed product construction

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (1)

Realization of two-sided quantum \(K\)-systems

Cites Work

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• Mixing properties of quantum systems
• A non-commutative version of the Arnold cat map
• Dynamical entropy of C *-algebras and von Neumann algebras
• C*-algebras associated with irrational rotations
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Defining quantum dynamical entropy
• Diophantische Ungleichungen. I: Zur Gleichverteilung modulo Eins
• Dynamical approximation entropies and topological entropy in operator algebras
• Discrete Heisenberg-Weyl group and modular group
• \(C^*\)-dynamical systems that are asymptotically highly anticommutative
• The dynamical entropy of the quantum Arnold cat map
• Quantized Arnold cat maps can be entropic K-systems
• Anosov actions on noncommutative algebras
• C*-dynamical systems for which the tensor product formula for entropy fails

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