Amenable covers and ℓ1-invisibility

DOI10.1142/S1793525320500521zbMath1501.55002arXiv1907.10547MaRDI QIDQ5089940

Roberto Frigerio

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/1907.10547

zbMATH Keywords

amenable groupbounded cohomologymulticomplexsimplicial volume

Mathematics Subject Classification ID

Cohomology of groups (20J06) Other homology theories in algebraic topology (55N35) Singular homology and cohomology theory (55N10)

Related Items (3)

On the simplicial volume and the Euler characteristic of (aspherical) manifolds ⋮ Amenable category and complexity ⋮ Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume

Cites Work

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• Simplicial volume and fillings of hyperbolic manifolds
• The geometric realization of a semi-simplicial complex
• Second bounded cohomology group
• Volume and bounded cohomology
• Foundations of the theory of bounded cohomology
• Existence of non-Banach bounded cohomology
• The zero-norm subspace of bounded cohomology
• Bounded cohomology of amenable covers via classifying spaces
• The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
• Bounded Cohomology of Certain Groups of Homeomorphisms

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