Vanishing and non-vanishing for the first \(L^p\)-cohomology of groups.

DOI10.4171/CMH/18zbMath1139.20045OpenAlexW2065372583MaRDI QIDQ2483785

Alain Valette, Marc Bourdon, Florian Martin

Publication date: 1 August 2005

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=80&iss=2&rank=3

zbMATH Keywords

critical exponentsfinitely generated groupsgroup cohomologycocompact latticessimple Lie groupschains of subgroups\(L^p\)-cohomologynon-amenable subgroups\(\text{CAT}(-1)\) spaces

Mathematics Subject Classification ID

Cohomology of groups (20J06) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

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