Boundary amenability of relatively hyperbolic groups.

DOI10.1016/j.topol.2005.11.001zbMath1109.20037arXivmath/0501555OpenAlexW1997392209MaRDI QIDQ2502981

Narutaka Ozawa

Publication date: 13 September 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501555

zbMATH Keywords

amalgamated free productsrelatively hyperbolic groupsamenable actionsexact groups

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Measures on groups and semigroups, etc. (43A05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items

THE COARSE BAUM–CONNES CONJECTURE FOR RELATIVELY HYPERBOLIC GROUPS ⋮ \(W^*\)-rigidity for the von Neumann algebras of products of hyperbolic groups ⋮ Boundary amenability of $Out(F_N)$ ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ Peripheral fillings of relatively hyperbolic groups. ⋮ RELATIVELY AMENABLE ACTIONS OF THOMPSON’S GROUPS ⋮ Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups ⋮ Bi-exactness of relatively hyperbolic groups ⋮ Coarse flow spaces for relatively hyperbolic groups ⋮ Finite‐dimensional approximation properties for uniform Roe algebras ⋮ Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups ⋮ Extending properties to relatively hyperbolic groups ⋮ Complexes and exactness of certain Artin groups. ⋮ A remark on fullness of some group measure space von Neumann algebras ⋮ Property A and uniform embeddability of metric spaces under decompositions of finite depth ⋮ An obstruction to the strong relative hyperbolicity of a group ⋮ Relative property A and relative amenability for countable groups ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ Unicorn paths and hyperfiniteness for the mapping class group ⋮ Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups ⋮ Von Neumann equivalence and group exactness

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