A reinforcement of property (T)

DOI10.1215/00127094-2008-029zbMath1158.46049OpenAlexW2008196517MaRDI QIDQ935198

Publication date: 5 August 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00127094-2008-029

zbMATH Keywords

representation locally compact group property (T)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hyperbolic groups and nonpositively curved groups (20F67) Isometric theory of Banach spaces (46B04) Analysis on (p)-adic Lie groups (22E35) Groups acting on trees (20E08) Representations of group algebras (22D20)

Related Items

Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\), Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\), On quantitative sphere equivalence and extrapolation phenomenon, Property \((T)\) and rigidity for actions on Banach spaces, Strong property (T) for higher-rank simple Lie groups: Figure 1., Warped cones and spectral gaps, Barycentric gluing and geometry of stable metrics, A quasi-isometric embedding theorem for groups., 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, Proper actions on \(\ell^p\)-spaces for relatively hyperbolic groups, Superexpanders from group actions on compact manifolds, Topological property (T) for groupoids, The Bernstein-Gelfand-Gelfand complex and Kasparov theory for \(SL(3,\mathbb C)\), Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture, Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications, Analysis on simple Lie groups and lattices, Lattice subgroups acting on manifolds, On the dimension growth of groups., Distortion of imbeddings of groups of intermediate growth into metric spaces, Interactions of computational complexity theory and mathematics, Simple Lie groups without the approximation property, Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders, Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property, The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space, Speed of random walks, isoperimetry and compression of finitely generated groups, Rigidity of warped cones and coarse geometry of expanders, The Baum–Connes conjecture: an extended survey, The non-linear geometry of Banach spaces after Nigel Kalton, Fixed point properties and second bounded cohomology of universal lattices on Banach spaces, Discrete fundamental groups of warped cones and expanders, Comparison of Metric Spectral Gaps, On strong property (T) and fixed point properties for Lie groups, Averaged projections, angles between groups and strengthening of Banach property (T), Fixed point property for universal lattice on Schatten classes, Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations, Nonlinear spectral calculus and super-expanders, Strong Banach property (T) for simple algebraic groups of higher rank, Coarse embedding into uniformly convex Banach spaces, Poincaré inequalities and rigidity for actions on Banach spaces, Kazhdan projections, random walks and ergodic theorems, Snowflake universality of Wasserstein spaces, Complex interpolation between Hilbert, Banach and operator spaces, Simple Lie groups without the Approximation Property II, Super-expanders and warped cones, Banach space actions and \(L^2\)-spectral gap, Sphere equivalence, Property H, and Banach expanders, Book Review: Metric embeddings: bilipschitz and coarse embedddings into Banach spaces, An average John theorem, Expanders with respect to Hadamard spaces and random graphs, EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS, Amenability versus non‐exactness of dense subgroups of a compact group, Nonpositive curvature is not coarsely universal, PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE, Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups, Logarithmic girth expander graphs of \(SL_n({\mathbb{F}}_p)\), Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings, Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T), A local characterization of Kazhdan projections and applications, Some spherical functions on hyperbolic groups, The coarse Novikov conjecture and Banach spaces with property (H), Coarse infinite-dimensionality of hyperspaces of finite subsets

Cites Work