Superrigidity, Ratner's theorem, and fundamental groups

DOI10.1007/BF02775786zbMath0767.22002MaRDI QIDQ1182832

Robert J. Zimmer

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

semisimple Lie groupactionsuperrigidityinvariant measures on homogeneous spacesfundamental group of manifolds

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Ergodic theory (37A99)

Related Items

The Gromov's centralizer theorem for semisimple Lie group actions, Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups, Discrete Groups and Non-Riemannian Homogeneous Spaces

Cites Work

• On the algebraic hull of an automorphism group of a principal bundle
• Fundamental groups of negatively curved manifolds and actions of semisimple groups
• On Raghunathan's measure conjecture
• Extensions of ergodic group actions
• Unitary spectrum and the fundamental group for actions of semisimple Lie groups
• Representations of Fundamental Groups of Manifolds with a Semisimple Transformation Group
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