SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY

DOI10.1017/S1474748006000090zbMath1133.22001arXivmath/0405288OpenAlexW2068693306MaRDI QIDQ5441151

Thierry Giordano, Vladimir G. Pestov

Publication date: 7 February 2008

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405288

zbMATH Keywords

concentration of measure extremely amenable groups full group Lévy groups unitary groups of von Neumann algebras groups of measure space transformations

Mathematics Subject Classification ID

Structure of general topological groups (22A05) General theory of von Neumann algebras (46L10) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15) Groups as automorphisms of other structures (22F50)

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