Amenable actions and dense subgroups of Lie groups

DOI10.1016/0022-1236(87)90081-4zbMath0632.22008OpenAlexW2086696220MaRDI QIDQ1095266

Robert J. Zimmer

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90081-4

zbMATH Keywords

homogeneous spacessemisimple Lie groupamenable actionsamenable subgroupconnected Lie groupcanonical actionproper dense subgroup

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions ⋮ On dense embeddings of discrete groups into locally compact groups ⋮ Fundamental groups of some ergodic equivalence relations of type II\(_{\infty}\) ⋮ \(C^*\)-simplicity and the unique trace property for discrete groups ⋮ Arithmeticity of Holonomy Groups of Lie Foliations ⋮ Isometry groups of non-positively curved spaces: discrete subgroups ⋮ On dense free subgroups of Lie groups

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