A von Neumann algebraic approach to self-similar group actions

DOI10.1142/S0129167X19500745zbMath1442.46052arXiv1905.03986OpenAlexW3101893687MaRDI QIDQ5208757

Keisuke Yoshida

Publication date: 10 January 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03986

zbMATH Keywords

von Neumann algebraCuntz-Pimsner algebraKMS stateself-similar action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Cites Work

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• Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras
• Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. I: Cuntz algebras
• KMS states, entropy and the variational principle in full \(C^*\)-dynamical systems
• Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions
• On $C^*$-algebras associated to right LCM semigroups
• C*-algebras and self-similar groups
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Simplicity of algebras associated to non-Hausdorff groupoids
• C^*-Algebras associated with complex dynamical systems
• KMS states and branched points

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