Local similarities and the Haagerup property. With an appendix by Daniel S. Farley.

DOI10.4171/GGD/58zbMath1221.20029arXiv0804.0610MaRDI QIDQ1016450

Bruce Hughes

Publication date: 5 May 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0610

zbMATH Keywords

amenabilitygroup actions on treesHaagerup propertyThompson groupsgroups of local similarities of ultrametric spaceslocally finitely determined groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Unitary representations of locally compact groups (22D10) Compact (locally compact) metric spaces (54E45) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

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Some embeddings between symmetric R. thompson groups ⋮ -invisibility and a class of local similarity groups ⋮ Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Some isomorphism results for Thompson-like groups \(V_n(G)\) ⋮ Forest-skein groups II: Construction from homogeneously presented monoids ⋮ Operad groups and their finiteness properties ⋮ Commensurating actions of birational groups and groups of pseudo-automorphisms ⋮ Almost-automorphisms of trees, cloning systems and finiteness properties ⋮ On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points

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