Ergodic theory, group representations, and rigidity

DOI10.1090/S0273-0979-1982-15005-4zbMath0532.22009OpenAlexW4253116087MaRDI QIDQ3314075

Robert J. Zimmer

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15005-4

zbMATH Keywords

rigiditylatticesarithmeticityamenable groupssuperrigidityfree ergodic finite-measure-preservingorbit-equivalent

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Measures on groups and semigroups, etc. (43A05) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40)

Related Items

THE CLASSIFICATION PROBLEM FOR p-LOCAL TORSION-FREE ABELIAN GROUPS OF RANK TWO, Trajectory theory, Problems on rigidity of group actions and cocycles, Actions of lattices in semisimple groups preserving a G-structure of finite type, Actions of T-groups on Lebesgue spaces and properties of full factors of type \(II_ 1\), Teichmüller modular groups and arithmetic groups, Arithmetic groups acting on compact manifolds, Measure equivalence for non-unimodular groups, Representation theoretic rigidity in \(PSL(2,\mathbb{R})\), An example of an amenable action from geometry, The Radiance Obstruction and Parallel Forms on Affine Manifolds, \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators, Volume preserving actions of lattices in semisimple groups on compact manifolds, Groupoid dynamical systems and crossed product, I. The case of \(W^*\)- systems, Characteristic classes and representations of discrete subgroups of Lie groups

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