INVARIANT EXPECTATIONS AND VANISHING OF BOUNDED COHOMOLOGY FOR EXACT GROUPS

DOI10.1142/S1793525311000489zbMath1248.57002arXiv1001.0718MaRDI QIDQ3168762

Piotr W. Nowak, Ronald G. Douglas

Publication date: 19 April 2011

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

Full work available at URL: https://arxiv.org/abs/1001.0718

zbMATH Keywords

Hochschild cohomologybounded cohomologyconvolution algebraexact groupinvariant expectation

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items (5)

AMENABLE ACTIONS, INVARIANT MEANS AND BOUNDED COHOMOLOGY ⋮ 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

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• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• The Novikov conjecture for linear groups
• Coarsely embeddable metric spaces without Property A
• Amenable actions and exactness for discrete groups
• Continuous bounded cohomology of locally compact groups
• Lectures on amenability
• Exactness and the Novikov conjecture

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