On the bounded cohomology of semi-simple groups, S-arithmetic groups and products

DOI10.1515/CRELLE.2010.024zbMath1202.22018arXiv0710.5361MaRDI QIDQ3553935

Nicolas Monod

Publication date: 22 April 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5361

zbMATH Keywords

bounded cohomologysemisimple groupS-arithmetic groupcoefficient G-modulesemiseparable coefficient G-module

Mathematics Subject Classification ID

Cohomology of groups (20J06) Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) Cohomology theory for linear algebraic groups (20G10) Continuous cohomology of Lie groups (22E41)

Related Items (8)

Lamplighters and the bounded cohomology of Thompson's group ⋮ BOUNDED COHOMOLOGY AND BINATE GROUPS ⋮ Amenability and acyclicity in bounded cohomology ⋮ The norm of the Euler class ⋮ Group actions on dendrites and curves ⋮ Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings ⋮ Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology ⋮ Transgression in bounded cohomology and a conjecture of Monod

Cites Work

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• Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern
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• Cohomology of \(S\)-arithmetic subgroups in the number field case
• 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
• Superrigidity for irreducible lattices and geometric splitting
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Orbit equivalence rigidity and bounded cohomology
• Groupes reductifs
• The decomposition of certain group representations
• Complements à l'article: Groupes reductifs
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• On a 𝑝-adic vanishing theorem of Garland
• On the Deformations of Lattice in a Lie Group
• On Radicals of Discrete Subgroups of Lie Groups
• Lattices in product of trees

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