Entropy of some automorphisms of the \(II_ 1\)-factor of the free group in infinite number of generators

DOI10.1007/BF01231324zbMath0807.46079MaRDI QIDQ1209125

Erling Størmer

Publication date: 16 May 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144042

zbMATH Keywords

entropy\(II_ 1\)-factor defined by the free group in infinite number of generatorsfree shift

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items (8)

Topological entropy for endomorphisms of local \(C^*\)-algebras ⋮ Dynamical entropy of generalized quantum Markov chains ⋮ An ergodic Abelian skeleton for quantum systems ⋮ Comparison of dynamical entropies for the noncommutative shifts ⋮ Topological entropy and AF subalgebras of graph 𝐶*-algebras ⋮ Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras ⋮ Topological entropy of free product automorphisms ⋮ Dynamical entropy for automorphisms of exact \(C^*\)-algebras.

Cites Work

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• Maximal injective subalgebras in factors associated with free groups
• Dynamical entropy of C *-algebras and von Neumann algebras
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Noncommutative random variables and spectral problems in free product \(C^*\)-algebras
• Entropy of dynamical systems and perturbations of operators

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