Negative curvature from a cohomological viewpoint and cocycle superrigidity

DOI10.1016/j.crma.2003.10.002zbMath1029.22017OpenAlexW2138834991MaRDI QIDQ1420150

Yehuda Shalom, Nicolas Monod

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.002

zbMATH Keywords

irreducible latticeslocally compact groupssuperrigidityorbit equivalence rigidity

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Rigidity results (53C24) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

Extending higher-dimensional quasi-cocycles ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ Induced quasicocycles on groups with hyperbolically embedded subgroups. ⋮ Group actions on dendrites and curves ⋮ Superrigidity for irreducible lattices and geometric splitting ⋮ The cup product of Brooks quasimorphisms

Cites Work

• Double ergodicity of the Poisson boundary and applications to bounded cohomology
• Rigidity of commensurators and irreducible lattices
• Continuous bounded cohomology and applications to rigidity theory
• Ideal bicombings for hyperbolic groups and applications.
• Orbit equivalence rigidity and bounded cohomology
• Cocycle superrigidity and bounded cohomology for negatively curved spaces
• Continuous bounded cohomology of locally compact groups
• Unnamed Item

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