Comparison of dynamical entropies for the noncommutative shifts

DOI10.1007/BF00749625zbMath0836.46059MaRDI QIDQ1899859

Robert Alicki, Heide Narnhofer

Publication date: 29 April 1996

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

zbMATH Keywords

automorphismvon Neumann algebrainvariant statedynamical entropies\(\text{II}_ 1\) factor

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Entropy and other invariants (28D20) Applications of functional analysis in quantum physics (46N50)

Related Items (8)

Quantum dynamical entropy of spin systems ⋮ A CONTINUITY PROPERTY OF QUANTUM DYNAMICAL ENTROPY ⋮ \(C^*\)-dynamical systems that are asymptotically highly anticommutative ⋮ The dynamical entropy of the quantum Arnold cat map ⋮ CLASSICAL LIMIT OF QUANTUM DYNAMICAL ENTROPIES ⋮ Quantization: Non-commutative dynamical entropy ⋮ Entropy and algorithmic complexity in quantum information theory ⋮ Entropy and quantum Kolmogorov complexity: a quantum Brudno's theorem

Cites Work

• Unnamed Item
• Dynamical entropy of quasifree automorphisms
• Dynamical entropy of C *-algebras and von Neumann algebras
• Non-Markovian quantum stochastic processes and their entropy
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Entropy of some automorphisms of the \(II_ 1\)-factor of the free group in infinite number of generators
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Clustering for algebraic \(K\)-systems
• Defining quantum dynamical entropy
• An ergodic Abelian skeleton for quantum systems
• Shifts on Type II₁ Factors

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