Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures

DOI10.1017/etds.2020.24zbMath1469.37023arXiv1905.09161OpenAlexW3013430319WikidataQ114119238 ScholiaQ114119238MaRDI QIDQ4990636

Jairo K. Mengue, Artur Oscar Lopes

Publication date: 31 May 2021

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

Full work available at URL: https://arxiv.org/abs/1905.09161

zbMATH Keywords

entropytransverse measurestransverse functionsnoncommutative integrationHaar systems

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (2)

On information gain, Kullback-Leibler divergence, entropy production and the involution kernel ⋮ Haar systems, KMS states on von Neumann algebras and \(C^*\)-algebras on dynamically defined groupoids and noncommutative integration

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