An introduction to hyperlinear and sofic groups

zbMath1367.20052arXiv0911.4266MaRDI QIDQ5271399

Aleksandra Kwiatkowska, Vladimir G. Pestov

Publication date: 11 July 2017

Full work available at URL: https://arxiv.org/abs/0911.4266

zbMATH Keywords

amenabilityultraproductssofic groupshyperlinear groupslocally embeddability into finite groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) Local properties of groups (20E25) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

Linear sofic groups and algebras ⋮ On the Toeplitz-Jacobson algebra and direct finiteness ⋮ Semigroups locally embeddable into the class of finite semigroups ⋮ Locally compact sofic groups ⋮ On sofic actions and equivalence relations ⋮ Not All Groups Are LEF Groups, or Can You Know If a Group Is Infinite? ⋮ Examples in the entropy theory of countable group actions

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