On the K-property of quantized Arnold cat maps

DOI10.1063/1.533221zbMath0987.37009arXivmath/0002080OpenAlexW2078634892MaRDI QIDQ2737913

Sergey V. Neshveyev

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0002080

zbMATH Keywords

dynamical entropynoncommutative dynamical systems\(K\)-propertyquantized Arnold cat maps

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (2)

Independence in topological and \(C^*\)-dynamics ⋮ CLASSICAL LIMIT OF QUANTUM DYNAMICAL ENTROPIES

Cites Work

• Dynamical entropy of C *-algebras and von Neumann algebras
• Non-Bernoullian quantum \(K\)-systems
• Quantum \(K\)-systems
• Dynamical approximation entropies and topological entropy in operator algebras
• Quantized Arnold cat maps can be entropic K-systems
• Gibbs states for AF algebras

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