On a family of representations of the Higman-Thompson groups

DOI10.1515/jgth-2021-0190OpenAlexW4283813916MaRDI QIDQ2093222

André Guimarães, Paulo R. Pinto

Publication date: 7 November 2022

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2021-0190

zbMATH Keywords

irreducible representationsHigman-Thompson groupsCuntz algebras

Mathematics Subject Classification ID

Geometric group theory (20F65) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical systems and the theory of (C^*)-algebras (37A55)

Cites Work

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• Non-inner amenability of the Thompson groups \(T\) and \(V\)
• Introductory notes on Richard Thompson's groups
• Full groups of Cuntz-Krieger algebras and Higman-Thompson groups
• Representations of Higman-Thompson groups from Cuntz algebras
• Representations of Thompson groups from Cuntz algebras
• Cuntz-Krieger algebras representations from orbits of interval maps
• Finiteness properties of groups

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