Introduction to sofic and hyperlinear groups and Connes' embedding conjecture. With an appendix by Vladimir Pestov

DOI10.1007/978-3-319-19333-5zbMath1383.20002arXiv1309.2034OpenAlexW2133888859MaRDI QIDQ2348139

Publication date: 10 June 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2034

zbMATH Keywords

sofic groups Kervaire-Laudenbach conjecture Kaplansky's direct finiteness conjecture algebraic eingenvalues conjecture Connes' embedding conjecture hypelinear groups von Neumann algebras and II$_{1}$ factors

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Ultraproducts in functional analysis (46M07) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Asymptotic properties of groups (20F69) Ultraproducts and related constructions (03C20) Applications of model theory (03C98) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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