Rigidity of commensurators and irreducible lattices
From MaRDI portal
Publication:1574468
DOI10.1007/s002220000064zbMath0978.22010OpenAlexW2009908621MaRDI QIDQ1574468
Publication date: 22 November 2000
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220000064
Discrete subgroups of Lie groups (22E40) General properties and structure of complex Lie groups (22E10)
Related Items
Factor and normal subgroup theorems for lattices in products of groups, Non-discrete simple locally compact groups, The bi-embeddability relation for finitely generated groups. II, Property \((T)\) and rigidity for actions on Banach spaces, Strong property (T) for higher-rank simple Lie groups: Figure 1., Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups, Amenable invariant random subgroups, A zero-one law for random subgroups of some totally disconnected groups, NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T), Integrable measure equivalence and the central extension of surface groups, Buildings and Kac-Moody Groups, Property (T) for fiber products, Fixed-point property of random groups., Topologizing Lie algebra cohomology, Charmenability of arithmetic groups of product type, A class of superrigid group von Neumann algebras, Property \((T)\) for noncommutative universal lattices, Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity, Almost invariance of distributions for random walks on groups, On \(1\)-cocycles induced by a positive definite function on a locally compact abelian group, Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups, Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications, Noncommutative ergodic theory of higher rank lattices, A totally disconnected invitation to locally compact groups, Reduced 1-cohomology and relative property (T), Non-abelian and \(\varepsilon\)-curved homological algebra with arrow categories, Commensurators of finitely generated nonfree Kleinian groups., Vanishing first cohomology and strong 1-boundedness for von Neumann algebras, Representations of currents taking values in a totally disconnected group, Some topics in the dynamics of group actions on rooted trees., Negative curvature from a cohomological viewpoint and cocycle superrigidity, The scale function and lattices, Groups of piecewise linear homeomorphisms of flows, Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups, A topological zero-one law and elementary equivalence of finitely generated groups, A normal subgroup theorem for commensurators of lattices, Sofic boundaries of groups and coarse geometry of sofic approximations, Amenable uniformly recurrent subgroups and lattice embeddings, Fixed point properties and second bounded cohomology of universal lattices on Banach spaces, Isometric group actions on Banach spaces and representations vanishing at infinity, On the bounded cohomology of semi-simple groups, S-arithmetic groups and products, APPLICATIONS OF p-DEFICIENCY AND p-LARGENESS, Fixed point property for universal lattice on Schatten classes, Golod-Shafarevich groups with property \((T)\) and Kac-Moody groups., A fixed point theorem in \(L^p\)-spaces, Abstract commensurators of surface groups, On the cohomology of weakly almost periodic group representations, Local rigidity of uniform lattices, Cocycle superrigidity for profinite actions of property (T) groups, Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)), The Schur lemma for orthogonal representations, Superrigidity for irreducible lattices and geometric splitting, Amenable groups without finitely presented amenable covers, Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups., A functional analysis proof of Gromov's polynomial growth theorem, Harmonic analysis, cohomology, and the large-scale geometry of amenable groups, Abstract simplicity of non-affine Kac-Moody groups., A remark on conditionally negative definite functions., Limit groups as limits of free groups., On the vanishing of reduced 1-cohomology for Banach representations, Limits of dihedral groups., Non-distortion of twin building lattices., On the joint spectral radius for isometries of non-positively curved spaces and uniform growth, Measure equivalence and coarse equivalence for unimodular locally compact groups, Ordering the space of finitely generated groups, Irreducible lattices, invariant means, and commensurating actions, RESTRICTING COHOMOLOGICAL REPRESENTATIONS OF SO0(n,1) AND SU(n,1), The median class and superrigidity of actions on CAT(0) cube complexes, On Property (FA) for wreath products, Simplicity and superrigidity of twin building lattices., Product groups acting on manifolds, Lattice envelopes, Superrigidity of actions on finite rank median spaces, Isometry groups of non-positively curved spaces: discrete subgroups, Cohomology for groups of isometries of regular trees, Bounding the covolume of lattices in products, Relative Kazhdan Property, Subword complexity and Sturmian colorings of regular trees, Zimmer's conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\), Almost isometric actions, property (T), and local rigidity, Arithmeticity vs. nonlinearity for irreducible lattices, Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings, A local characterization of Kazhdan projections and applications, Integrability of induction cocycles for Kac-Moody groups, On the lifting property for \(C^{\ast}\)-algebras, Descriptive complexity of subsets of the space of finitely generated groups, Group approximation in Cayley topology and coarse geometry. III: Geometric property (T)