Groups generating transversals to semisimple Lie group actions

DOI10.1007/BF02772946zbMath0756.28013WikidataQ115391662 ScholiaQ115391662MaRDI QIDQ1182652

Robert J. Zimmer

Publication date: 28 June 1992

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

zbMATH Keywords

semisimple Lie groupslatticesergodic actionorbit equivalencestrong rigiditycountable groups with finite measure preserving actionsfoliation with transverse geometric structure

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Discrete subgroups of Lie groups (22E40)

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Cites Work

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• Ergodic actions of semisimple groups and product relations
• Orbit structure and countable sections for actions of continuous groups
• Arithmeticity of Holonomy Groups of Lie Foliations
• An Equivalence Relation that is not Freely Generated
• Subrelations of ergodic equivalence relations
• Representations of Fundamental Groups of Manifolds with a Semisimple Transformation Group
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Measurable Quotients of Unipotent Translations on Homogeneous Spaces