Strong property (T) for higher-rank simple Lie groups: Figure 1.

DOI10.1112/plms/pdv040zbMath1328.22003arXiv1401.3611OpenAlexW1836042012MaRDI QIDQ3452739

Tim De Laat, Mikael de la Salle

Publication date: 13 November 2015

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3611

zbMATH Keywords

locally compact grouplength functionstrong property (T)Lafforgue's strong property (T)higher-rank simple Lie group

Mathematics Subject Classification ID

Geometric group theory (20F65) Geometry and structure of normed linear spaces (46B20) Semisimple Lie groups and their representations (22E46) Other representations of locally compact groups (22D12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)

Related Items (18)

Warped cones and spectral gaps ⋮ C¹ actions on manifolds by lattices in Lie groups ⋮ The \(p\)-approximation property for simple Lie groups with finite center ⋮ Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces ⋮ Superexpanders from group actions on compact manifolds ⋮ Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ Analysis on simple Lie groups and lattices ⋮ Lattice subgroups acting on manifolds ⋮ Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders ⋮ The Baum–Connes conjecture: an extended survey ⋮ On strong property (T) and fixed point properties for Lie groups ⋮ Averaged projections, angles between groups and strengthening of Banach property (T) ⋮ Super-expanders and warped cones ⋮ Fixed-point spectrum for group actions by affine isometries on \(L_p\)-spaces ⋮ 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

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