Quantized Arnold cat maps can be entropic K-systems

DOI10.1063/1.529674zbMath0755.58035OpenAlexW1981165687MaRDI QIDQ3992333

Heide Narnhofer

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.529674

zbMATH Keywords

automorphismsirrational rotation algebracat mapsentropic \(K\)- systems

Mathematics Subject Classification ID

Ergodic theory (37A99) Stochastic quantization (81S20)

Related Items

Classical limit of the quantized hyperbolic toral automorphisms, Independence in topological and \(C^*\)-dynamics, \(C^*\)-dynamical systems that are asymptotically highly anticommutative, CLASSICAL LIMIT OF QUANTUM DYNAMICAL ENTROPIES, Ergodic properties of automorphisms on the rotation algebra, Anosov actions on noncommutative algebras, Multi-time correlations in quantized toral automorphisms, On the K-property of quantized Arnold cat maps, Lyapunov exponent in quantum mechanics. A phase-space approach

Cites Work

• Representations and automorphisms of the irrational rotation algebra
• Dynamical entropy of quasifree automorphisms
• Dynamical entropy of C *-algebras and von Neumann algebras
• C*-algebras associated with irrational rotations
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Strong asymptotic abelianness for entropic \(K\)-systems
• Generalized K-flows
• Quantum \(K\)-systems
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Algebraic K-systems
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY