Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups

DOI10.1007/S11856-018-1818-6zbMath1479.22006arXiv1706.00707OpenAlexW2907136534MaRDI QIDQ2631879

Tianyi Zheng, Jérémie Brieussel

Publication date: 16 May 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00707

zbMATH Keywords

unitary representationslocally finite groupssolvable groupslocally normally finite groups

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10)

Related Items (6)

Soluble groups with no \(\mathbb{Z}\wr \mathbb{Z}\) sections ⋮ The Liouville property and Hilbertian compression ⋮ Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\) ⋮ On the vanishing of reduced 1-cohomology for Banach representations ⋮ Random walks on the discrete affine group ⋮ Elements of uniformly bounded word-length in groups

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