C*-dynamical systems for which the tensor product formula for entropy fails

DOI10.1017/S0143385700009718zbMath0832.46059MaRDI QIDQ4854163

Erling Størmer, W. Thirring, Heide Narnhofer

Publication date: 15 February 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

entropyshiftinvariant tracesimple AF-algebras generated by a sequence of selfadjoint unitaries

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (13)

Dynamical approximation entropies and topological entropy in operator algebras ⋮ \(C^*\)-dynamical systems that are asymptotically highly anticommutative ⋮ CLASSICAL LIMIT OF QUANTUM DYNAMICAL ENTROPIES ⋮ Ergodic properties of automorphisms on the rotation algebra ⋮ Are interacting systems norm asymptotic abelian? ⋮ On automorphisms of C*-algebras whose Voiculescu entropy is genuinely non-commutative ⋮ Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras ⋮ The entropy of rational Powers shifts ⋮ Realization of two-sided quantum \(K\)-systems ⋮ A \(C^*\)-dynamical entropy and applications to canonical endomorphisms ⋮ On the ranks of skew-centrosymmetric matrices over finite fields ⋮ Generators and comparison of entropies of automorphisms of finite von Neumann algebras ⋮ Topological entropy of free product automorphisms

Cites Work

• Dynamical entropy of C *-algebras and von Neumann algebras
• 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)
• Clustering for algebraic \(K\)-systems
• Shifts on Type II₁ Factors
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.

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