RELATIVELY AMENABLE ACTIONS OF THOMPSON’S GROUPS

DOI10.1017/S0004972721000873zbMath1503.43003arXiv2109.01111OpenAlexW3210196158MaRDI QIDQ5097527

Eduardo Scarparo

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01111

zbMATH Keywords

universal coefficient theoremKirchberg algebraThompson's groupsgroupoid of germsrelatively amenable actions

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relative amenability
• A groupoid approach to C*-algebras
• Introductory notes on Richard Thompson's groups
• Cartan subalgebras and the UCT problem
• Boundary maps, germs and quasi-regular representations
• \(\mathrm{C}^\ast\)-simplicity and representations of topological full groups of groupoids
• Boundary amenability of relatively hyperbolic groups.
• Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
• Topological Amenability Is a Borel Property
• Topological full groups of ample groupoids with applications to graph algebras