Noncommutative pressure and the variational principle in Cuntz-Krieger-type \(C^*\)-algebras

DOI10.1006/jfan.2001.3835zbMath1007.46053arXivmath/0010294OpenAlexW2171425689MaRDI QIDQ1604547

David Kerr, Claudia Pinzari

Publication date: 4 July 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010294

zbMATH Keywords

\(C^*\)-algebravariational principlecrossed productMarkov subshiftnoncommutative entropycontractive completely posive mapCuntz-Kireger type Pimsner algebradynamical pressureNeshveyev and Stormer unital-nuclear pressureSauvageot-Thouvenot entropyVoiculescu-Brown topological entropyVoiculescu's approximation approach

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (6)

Thermodynamic formalism for quantum channels: Entropy, pressure, Gibbs channels and generic properties ⋮ On \(C\)*-algebras from homoclinic equivalences on subshifts of finite type ⋮ Lyapunov spectra for KMS states on Cuntz-Krieger algebras ⋮ The pressure in operator algebras ⋮ KMS states and branched points ⋮ Noncommutative topological entropy of endomorphisms of Cuntz algebras

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