Representations of Fundamental Groups of Manifolds with a Semisimple Transformation Group

DOI10.2307/1990975zbMath0676.57017OpenAlexW4253467579MaRDI QIDQ3831734

Robert J. Zimmer

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/1990975

zbMATH Keywords

ergodicitymeasure preserving actionconnected semisimple Lie grouprepresentation of the fundamental groupaction of the universal covering group

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Noncompact Lie groups of transformations (57S20)

Related Items (10)

On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions ⋮ The stretch of a foliation and geometric superrigidity ⋮ Variants of Kazhdan's property for subgroups of semisimple groups ⋮ Groups generating transversals to semisimple Lie group actions ⋮ Superrigidity, Ratner's theorem, and fundamental groups ⋮ Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations ⋮ A canonical arithmetic quotient for actions of lattices in simple groups ⋮ Unitary spectrum and the fundamental group for actions of semisimple Lie groups ⋮ Invariant rigid geometric structures and smooth projective factors ⋮ Rigidity of Furstenberg entropy for semisimple Lie group actions

Cites Work

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• Variants of Kazhdan's property for subgroups of semisimple groups
• Strong rigidity for ergodic actions of semisimple Lie groups
• Kazhdan Groups, Cocycles and Trees
• Arithmeticity of Holonomy Groups of Lie Foliations
• On the Existence of Irreducible Discrete Subgroups in Isotypic Lie Groups of Classical Type
• Stable and 𝐿²-cohomology of arithmetic groups
• Stable real cohomology of arithmetic groups
• Induced and amenable ergodic actions of Lie groups
• Residually finite groups

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