Entropy of Bogoliubov automorphisms of the canonical anticommutation relations

DOI10.1007/BF02097008zbMath0743.46051OpenAlexW1972851259MaRDI QIDQ1173589

Erling Størmer, Dan-Virgil Voiculescu

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02097008

zbMATH Keywords

entropypure point spectrumBogolyubov automorphismsCAR-algebrainvariant quasifree states

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (17)

Dynamical entropy of generalized quantum Markov chains ⋮ Entropy for extensions of Bernoulli shifts ⋮ An ergodic Abelian skeleton for quantum systems ⋮ Dynamical approximation entropies and topological entropy in operator algebras ⋮ Comparison of dynamical entropies for the noncommutative shifts ⋮ Quantized Arnold cat maps can be entropic K-systems ⋮ C*-dynamical systems for which the tensor product formula for entropy fails ⋮ Dynamical entropy of quasi-local algebras in quantum statistical mechanics ⋮ Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems) ⋮ Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras ⋮ Entropy of automorphisms of \(\text{II}_1\)-factors arising from the dynamical systems theory ⋮ ENTROPY OF BOGOLIUBOV AUTOMORPHISMS OF CAR AND CCR ALGEBRAS WITH RESPECT TO QUASI-FREE STATES ⋮ ERGODIC PROPERTIES OF BOGOLIUBOV AUTOMORPHISMS IN FREE PROBABILITY ⋮ Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states ⋮ Generators and comparison of entropies of automorphisms of finite von Neumann algebras ⋮ Topological entropy of free product automorphisms ⋮ Ergodic theory and maximal abelian subalgebras of the hyperfinite factor

Cites Work

• Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity
• Dynamical entropy of C *-algebras and von Neumann algebras
• Form convex functions and the WYDL and other inequalities
• Completely positive quasi-free maps on the CAR algebra
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Free states of the canonical anticommutation relations
• Entropy and index for subfactors
• Unnamed Item

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