Proper isometric actions of hyperbolic groups on -spaces

DOI10.1112/S0010437X12000693zbMath1286.20055arXiv1202.2597MaRDI QIDQ5299340

Bogdan Nica

Publication date: 25 June 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2597

zbMATH Keywords

hyperbolic groupsBowen-Margulis measure\(\ell^p\)-cohomologyisometric actions on Banach spaces

Mathematics Subject Classification ID

Cohomology of groups (20J06) Hyperbolic groups and nonpositively curved groups (20F67) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Quasiconformal mappings in metric spaces (30L10)

Related Items

Random groups, random graphs and eigenvalues of \(p\)-Laplacians, \(K\)-homological finiteness and hyperbolic groups, Strong hyperbolicity, Embeddings of locally compact hyperbolic groups into \(L_{p}\)-spaces, Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces, Proper actions on \(\ell^p\)-spaces for relatively hyperbolic groups, Isometric actions on L_p-spaces: dependence on the value of p, Topological flows for hyperbolic groups, Two applications of strong hyperbolicity, Poincaré inequalities and rigidity for actions on Banach spaces, Kazhdan projections, random walks and ergodic theorems, Kazhdan and Haagerup properties from the median viewpoint., Fixed-point spectrum for group actions by affine isometries on \(L_p\)-spaces, Dehn filling Dehn twists, Some spherical functions on hyperbolic groups

Cites Work

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