The pressure in operator algebras

DOI10.1007/s10114-007-6370-yzbMath1158.46041OpenAlexW2104080027MaRDI QIDQ943537

Cheng Jun Hou

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-6370-y

zbMATH Keywords

entropypressurecrossed productexact \(C^*\)-algebrahyperfinite von Neumann algebra

Mathematics Subject Classification ID

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

Cites Work

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• Dynamical entropy of C *-algebras and von Neumann algebras
• Topological entropy in exact \(C^*\)-algebras
• A \(C^*\)-dynamical entropy and applications to canonical endomorphisms
• Noncommutative pressure and the variational principle in Cuntz-Krieger-type \(C^*\)-algebras
• Dynamical approximation entropies and topological entropy in operator algebras
• The completely bounded approximation property for discrete crossed products
• The variational principle for a class of asymptotically abelian \(C^*\)-algebras
• Approximation entropies in crossed products with an application to free shifts.