Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)

DOI10.1007/s11856-015-1262-9zbMath1362.46028arXiv1307.2475OpenAlexW4230209782MaRDI QIDQ273079

Mikael de la Salle

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1307.2475

zbMATH Keywords

coarse embeddingexpander graphsfixed point, Howe-Moore propertystrong Banach property (T)

Mathematics Subject Classification ID

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)

Related Items (15)

Warped cones and spectral gaps ⋮ Superexpanders from group actions on compact manifolds ⋮ Żuk’s criterion for Banach spaces and random groups ⋮ Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ Analysis on simple Lie groups and lattices ⋮ Garland's method with Banach coefficients ⋮ Comparison of Metric Spectral Gaps ⋮ Averaged projections, angles between groups and strengthening of Banach property (T) ⋮ Non \(p\)-norm approximated groups ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ Super-expanders and warped cones ⋮ Banach space actions and \(L^2\)-spectral gap ⋮ Nonpositive curvature is not coarsely universal ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ A local characterization of Kazhdan projections and applications

Cites Work

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