AMENABLE ACTIONS, INVARIANT MEANS AND BOUNDED COHOMOLOGY

DOI10.1142/S1793525312500161zbMath1307.22004arXiv1004.0295OpenAlexW2963075787MaRDI QIDQ3165507

Jacek Brodzki, Piotr W. Nowak, Nick J. Wright, Graham A. Niblo

Publication date: 29 October 2012

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0295

zbMATH Keywords

invariant meanbounded cohomologyexact groupsamenable actiongeometric module

Mathematics Subject Classification ID

Cohomology of groups (20J06) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

FIXED POINT CHARACTERISATION FOR EXACT AND AMENABLE ACTION ⋮ A cohomological characterisation of Yu's property A for metric spaces ⋮ A homological characterization of topological amenability ⋮ Every finitely generated group is weakly exact ⋮ Relative property A and relative amenability for countable groups ⋮ Cohomology groups invariant under continuous orbit equivalence

Cites Work

• A cohomological characterisation of Yu's property A for metric spaces
• Geometry of the mapping class groups. I: Boundary amenability
• Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• INVARIANT EXPECTATIONS AND VANISHING OF BOUNDED COHOMOLOGY FOR EXACT GROUPS
• An Introduction to Banach Space Theory
• Amenable actions and exactness for discrete groups
• Exactness and the Novikov conjecture

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