Kazhdan and Haagerup properties from the median viewpoint.

DOI10.1016/j.aim.2010.03.012zbMath1271.20053arXiv0704.3749OpenAlexW2160697618WikidataQ60508216 ScholiaQ60508216MaRDI QIDQ990752

Frédéric Haglund, Indira Chatterji, Cornelia Drutu

Publication date: 1 September 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3749

zbMATH Keywords

Haagerup property Kazhdan property (T)actions on $L^p$-spaces median metric spaces spaces with measured walls

Mathematics Subject Classification ID

Geometric group theory (20F65) Unitary representations of locally compact groups (22D10) Hyperbolic groups and nonpositively curved groups (20F67) Isometric theory of Banach spaces (46B04) Means on groups, semigroups, etc.; amenable groups (43A07) Groups as automorphisms of other structures (22F50)

Related Items

Morse quasiflats. I, Proper actions of wreath products and generalizations, Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces, Flats in spaces with convex geodesic bicombings, Random groups, random graphs and eigenvalues of $p$-Laplacians, Coarse median structures and homomorphisms from Kazhdan groups, Embeddings of locally compact hyperbolic groups into $L_{p}$-spaces, Asymptotic rank of spaces with bicombings, Lamplighter groups, median spaces and Hilbertian geometry, Large-scale rigidity properties of the mapping class groups, Roller boundaries for median spaces and algebras, No quasi-isometric rigidity for proper actions on CAT(0) cube complexes, Hyperbolicity and uniformly Lipschitz affine actions on subspaces of L1$L^1$, CAT(0) polygonal complexes are 2-median, Isometric actions on L_p-spaces: dependence on the value of p, Coarse-median preserving automorphisms, Analysis on simple Lie groups and lattices, Topology. Abstracts from the workshop held July 24--30, 2022, Hyperbolic Kac-Moody Weyl groups, billiard tables and actions of lattices on buildings., Balanced measures on compact median algebras, A Proof of Sageev’s Theorem on Hyperplanes in CAT(0) Cubical Complexes, The A-T-menability of some graphs of groups with cyclic edge groups, Projection complexes and quasimedian maps, Locally compact groups with every isometric action bounded or proper, Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022, Embedding median algebras in products of trees., Hyperbolic and cubical rigidities of Thompson's group $V$, Property $F\ell_q$ implies property $F\ell_{p}$ for $1<p<q<\infty$, A fixed point theorem in $L^p$-spaces, Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations, Property $(T_B)$ and property $(F_B)$ restricted to a representation without non-zero invariant vectors, Haagerup approximation property for quantum reflection groups, Poincaré inequalities and rigidity for actions on Banach spaces, Kazhdan projections, random walks and ergodic theorems, Fixed-point spectrum for group actions by affine isometries on $L_p$-spaces, Counting subgraphs in fftp graphs with symmetry, Median and injective metric spaces, Injective metrizability and the duality theory of cubings, Weakly Modular Graphs and Nonpositive Curvature, Superrigidity of actions on finite rank median spaces, The Tits alternative for finite rank median spaces, EMBEDDABILITY OF GENERALISED WREATH PRODUCTS, Large-scale rank and rigidity of the Weil-Petersson metric, A new characterization of the Haagerup property by actions on infinite measure spaces, Cross ratios and cubulations of hyperbolic groups, Infinitely presented small cancellation groups have the Haagerup property, Cross‐ratios on CAT(0) cube complexes and marked length‐spectrum rigidity, Some properties of median metric spaces

Cites Work