Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients

Gregory Margulis

Displaying similar documents to “Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients”

Relative Kazhdan property

Yves de Cornulier (2006)

Annales scientifiques de l'École Normale Supérieure

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Harmonic analysis on reductive $p$ -adic groups

G. Van Dijk (1970-1971)

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Rigidity and cocycles for ergodic actions of semi-simple Lie groups

Harry Furstenberg (1979-1980)

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Type I criteria and the Plancherel formula for Lie groups with co-compact radical

Ronald L. Lipsman (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Minimality and unique ergodicity for subgroup actions

Shahar Mozes, Barak Weiss (1998)

Annales de l'institut Fourier

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Let $G$ be an $ℝ$ -algebraic semisimple group, $H$ an algebraic $ℝ$ -subgroup, and $Γ$ a lattice in $G$ . Partially answering a question posed by Hillel Furstenberg in 1972, we prove that if the action of $H$ on $G / Γ$ is minimal, then it is uniquely ergodic. Our proof uses in an essential way Marina Ratner’s classification of probability measures on $G / Γ$ invariant under unipotent elements, and the study of “tubes” in $G / Γ$ .

Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group.

Shalom, Yehuda (2000)

Annals of Mathematics. Second Series

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Rigidity of Furstenberg entropy for semisimple Lie group actions

Amos Nevo, Robert J. Zimmer (2000)

Annales scientifiques de l'École Normale Supérieure

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Displaying similar documents to “Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients”

Relative Kazhdan property

Harmonic analysis on reductive p -adic groups

Rigidity and cocycles for ergodic actions of semi-simple Lie groups

Type I criteria and the Plancherel formula for Lie groups with co-compact radical

Minimality and unique ergodicity for subgroup actions

Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group.

Rigidity of Furstenberg entropy for semisimple Lie group actions

Harmonic analysis on reductive $p$ -adic groups