Amenable groups and Hadamard spaces with a totally disconnected isometry group.

DOI10.4171/CMH/168zbMath1233.20037arXiv0705.1980OpenAlexW2043938466MaRDI QIDQ1012477

Pierre-Emmanuel Caprace

Publication date: 21 April 2009

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

Full work available at URL: https://arxiv.org/abs/0705.1980

zbMATH Keywords

CAT(0) spacesisometry groupslocally compact groupsamenable groupssolvable radicaltotally disconnected groupstopologically locally finite groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Global Riemannian geometry, including pinching (53C20) General properties and structure of locally compact groups (22D05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (20)

Tits Alternative for -dimensional complexes ⋮ Fixed points and amenability in non-positive curvature ⋮ At infinity of finite-dimensional CAT\((0)\) spaces ⋮ The Poisson boundary of CAT(0) cube complex groups. ⋮ The Σ-invariants of 𝑆-arithmetic subgroups of Borel groups ⋮ Infinite dimensional representations of orthogonal groups of quadratic forms with finite index ⋮ On fixing boundary points of transitive hyperbolic graphs ⋮ Combinatorial and group-theoretic compactifications of buildings ⋮ Isometry groups of proper CAT(0)-spaces of rank one. ⋮ A new lattice invariant for lattices in totally disconnected locally compact groups ⋮ New Simple Lattices in Products of Trees and their Projections ⋮ Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups. ⋮ Finitely \(\mathcal{F}\)-amenable actions and decomposition complexity of groups ⋮ Decomposing locally compact groups into simple pieces ⋮ On profinite subgroups of an algebraic group over a local field ⋮ Simplicity and superrigidity of twin building lattices. ⋮ Superrigidity of actions on finite rank median spaces ⋮ Isometry groups of non-positively curved spaces: structure theory ⋮ Isometry groups of non-positively curved spaces: discrete subgroups ⋮ Bounding the covolume of lattices in products

This page was built for publication: Amenable groups and Hadamard spaces with a totally disconnected isometry group.