On the first \(L^p\)-cohomology of discrete groups.

DOI10.4171/GGD/5zbMath1175.20045OpenAlexW2000013465MaRDI QIDQ2372590

Florian Martin, Alain Valette

Publication date: 31 July 2007

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ggd/5

zbMATH Keywords

wreath productstreesamenabilitylattices\(p\)-harmonic functionsfirst \(L^p\)-cohomology

Mathematics Subject Classification ID

Cohomology of groups (20J06) Discrete subgroups of Lie groups (22E40) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

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Cites Work

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• \(L_ 2\)-cohomology and group cohomology
• Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number
• 4-manifolds, group invariants, and \(l_2\)-Betti numbers
• Property \((T)\) and rigidity for actions on Banach spaces
• Vanishing and non-vanishing for the first \(L^p\)-cohomology of groups.
• Moyennes invariantes et représentations unitaires
• Cohomologie ℓp espaces de Besov
• CAT(-1)-spaces, divergence groups and their commensurators

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