On \(1\)-cocycles induced by a positive definite function on a locally compact abelian group

DOI10.5802/ambp.335zbMath1297.43007arXiv1303.4185OpenAlexW2748113490MaRDI QIDQ397788

Alain Valette, Jordan Franks

Publication date: 12 August 2014

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4185

zbMATH Keywords

positive definite functioncontinuous 1-cohomologycyclic representationGNS-contruction

Mathematics Subject Classification ID

Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

• Isometric group actions on Banach spaces and representations vanishing at infinity
• Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number
• Rigidity of commensurators and irreducible lattices
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