On the K-property of quantized Arnold cat maps

Abstract

We prove that some quantized Arnold cat maps are entropic K-systems. This result was formulated by H. Narnhofer[1], but the fact that the optimal decomposition for the multi-channel entropy constructed there is not strictly local was not appropriately taken care of. We propose a strictly local decomposition based on a construction of Voiculescu.

LaTeX2e, 5 pages, to appear in J.Math.Phys

References in corpus (1)

• Entropy of Bogoliubov automorphisms of CAR and CCR algebras with respect to quasi-free states

Cited by in corpus (6)

• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Classical Limit of Quantum Dynamical Entropies
• Positive Voiculescu-Brown entropy in noncommutative toral automorphisms
• Quantum Dynamical Entropies and Complexity in Dynamical Systems
• Entropy and induced dynamics on state spaces
• Independence in topological and C*-dynamics