On the vanishing of reduced 1-cohomology for Banach representations

DOI10.5802/aif.3363zbMath1473.43006arXiv1711.05566OpenAlexW3154371704MaRDI QIDQ2027755

Yves De Cornulier, Romain Tessera

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05566

zbMATH Keywords

unitary representationsamenable groupssolvable Lie groupsgroups of finite Prüfer rankBanach representationsproperty \(\mathcal{H}_{\mathrm{fd}}\)WAP representations

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other representations of locally compact groups (22D12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

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