Pairings, duality, amenability and bounded cohomology

DOI10.4171/JEMS/338zbMath1257.43002arXiv1003.2584OpenAlexW2070690499MaRDI QIDQ713955

Graham A. Niblo, Nick J. Wright, Jacek Brodzki

Publication date: 19 October 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2584

zbMATH Keywords

group cohomologyamenabilityinvariant meansbounded cohomologyuniformly finite homology

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Dynamic characterizations of quasi-isometry and applications to cohomology, The \(\ell^\infty\)-semi-norm on uniformly finite homology, Dynamic asymptotic dimension and Matui's HK conjecture, Central extensions and bounded cohomology, A cohomological characterisation of Yu's property A for metric spaces, A homological characterization of topological amenability, Uniformly finite homology and amenable groups, Cohomology groups invariant under continuous orbit equivalence

Cites Work

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• Bounded cohomology and \(\ell ^ 1-\hom o\log y\) of surfaces
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
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