Extreme amenability of abelian \(L_0\) groups

DOI10.1016/j.jfa.2012.07.011zbMath1311.28002arXiv1201.0691OpenAlexW2963091329MaRDI QIDQ1762332

Marcin Sabok

Publication date: 23 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0691

zbMATH Keywords

simplicial complexBorsuk-Ulam theoremabelian groupultrafilterKneser graphcompact Hausdorff spacesubmeasureextremely amenable groupmeasurable graphtopolodical dynamics

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Generalized Ramsey theory (05C55) Measures on Boolean rings, measure algebras (28A60) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (4)

Concentration of measure, classification of submeasures, and dynamics of \(L_0\) ⋮ Automorphism groups of countable structures and groups of measurable functions ⋮ On amenability and groups of measurable maps ⋮ Amenability versus property (𝑇) for non-locally compact topological groups

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