Quasi-invariant measures for generalized approximately proper equivalence relations

DOI10.1016/J.JMAA.2024.128444MaRDI QIDQ6558329

Rodrigo Frausino, Thiago Raszeja, Ruy Exel, Rodrigo Bissacot

Publication date: 19 June 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

thermodynamic formalismRuelle operatorgroupoid \(C^\ast\)-algebrasDLR measuresRadon-Nikodym problemgeneralized countable Markov shifts

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30) Statistical thermodynamics (82B30) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

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• Inverse semigroups and combinatorial \(C^*\)-algebras
• A groupoid approach to C*-algebras
• C*-algebras, approximately proper equivalence relations and thermodynamic formalism
• Cuntz-Krieger algebras for infinite matrices
• Infinite DLR measures and volume-type phase transitions on countable Markov shifts
• The Radon–Nikodym problem for approximately proper equivalence relations

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