Low degree bounded cohomology and \(L^{2}\)-invariants for negatively curved groups

DOI10.4171/GGD/60zbMath1162.22021arXiv0710.4207OpenAlexW2085921207WikidataQ61677697 ScholiaQ61677697MaRDI QIDQ1016452

Andreas Thom

Publication date: 5 May 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4207

zbMATH Keywords

hyperbolic groupbounded cohomologyorbit equivalenceproperty (T)\(\ell^2\)-invariantshighest rank lattice

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Related Items

Morse quasiflats. I, On acylindrical hyperbolicity of groups with positive first ℓ²-Betti number, Induced quasicocycles on groups with hyperbolically embedded subgroups., Morse quasiflats. II, Invariant subalgebras of von Neumann algebras arising from negatively curved groups, On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups, L2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices, \(C^*\)-simplicity and the unique trace property for discrete groups, Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups, Acylindrically hyperbolic groups, Acylindrical hyperbolicity of groups acting on trees, Inner amenability for groups and central sequences in factors, Lattice envelopes

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