A local characterization of Kazhdan projections and applications

DOI10.4171/CMH/469zbMath1431.22004arXiv1604.01616OpenAlexW4242294001MaRDI QIDQ2337232

Mikael de la Salle

Publication date: 19 November 2019

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01616

zbMATH Keywords

Kazhdan's property (T)Lafforgue's strong property (T)property FXrepresentations of groups on Banach spaces

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Ultraproduct techniques in Banach space theory (46B08) Unitary representations of locally compact groups (22D10) Other representations of locally compact groups (22D12) Group algebras of locally compact groups (22D15)

Related Items (4)

Żuk’s criterion for Banach spaces and random groups ⋮ Isometric actions on L_p-spaces: dependence on the value of p ⋮ Analysis on simple Lie groups and lattices ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)
• Averaged projections, angles between groups and strengthening of Banach property (T)
• A reinforcement of property (T)
• Martingales with values in uniformly convex spaces
• Random walk in random groups.
• Filter products of \(C_{0}\)-semigroups and ultraproduct representations for Lie groups.
• Rigidity of commensurators and irreducible lattices
• Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders
• Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T)
• Property \((T)\) and rigidity for actions on Banach spaces
• Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
• Remarks on contractive projections in \(L_{p}\)-spaces
• Kompakt definierbare topologische Gruppen. (Compactly definable topological groups)
• Banach spaces which can be given an equivalent uniformly convex norm
• Almost isometric actions, property (T), and local rigidity
• On subspaces of invariant vectors
• Strong property (T) for higher-rank simple Lie groups: Figure 1.
• Fixed point properties in the space of marked groups
• PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
• Ultraproducts in Banach space theory.
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• Strong Banach property (T) for simple algebraic groups of higher rank
• On the cohomology of weakly almost periodic group representations
• Cohomology of deformations

This page was built for publication: A local characterization of Kazhdan projections and applications