Full groups and soficity

DOI10.1090/S0002-9939-2014-12403-8zbMath1362.20035arXiv1211.0621MaRDI QIDQ5179377

Gábor Elek

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0621

Mathematics Subject Classification ID

Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (2)

Topological full groups of minimal subshifts and quantifying local embeddings into finite groups ⋮ On sofic groupoids and their full groups

Cites Work

• Cantor systems, piecewise translations and simple amenable groups
• On sofic actions and equivalence relations
• Vanishing of second cohomology for tensor products of type \(II_{1}\) von Neumann algebras
• Endomorphisms of symbolic algebraic varieties
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Topics in orbit equivalence
• Evolving sets, mixing and heat kernel bounds
• On algebraic properties of topological full groups
• On sofic groups
• Asymptotic Enumeration of Spanning Trees
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