Every countable group has the weak Rohlin property

E. Glasner; J. P. Thouvenot; B. Weiss

doi:10.1112/S0024609306018923

Every countable group has the weak Rohlin property

E. Glasner^*, J. P. Thouvenot, B. Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We present a simple proof of the fact that every countable group Γ is weak Rohlin, that is, there is in the Polish space double-struck A _Γ of measure preserving Γ-actions an action T whose orbit in double-struck A_Γ under conjugations is dense. In conjunction with earlier results this in turn yields a new characterization of non-Kazhdan groups as those groups which admit such an action T which is also ergodic.

Original language	English
Pages (from-to)	932-936
Number of pages	5
Journal	Bulletin of the London Mathematical Society
Volume	38
Issue number	6
DOIs	https://doi.org/10.1112/S0024609306018923
State	Published - Dec 2006

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title = "Every countable group has the weak Rohlin property",

abstract = "We present a simple proof of the fact that every countable group Γ is weak Rohlin, that is, there is in the Polish space double-struck A Γ of measure preserving Γ-actions an action T whose orbit in double-struck AΓ under conjugations is dense. In conjunction with earlier results this in turn yields a new characterization of non-Kazhdan groups as those groups which admit such an action T which is also ergodic.",

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AU - Weiss, B.

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AB - We present a simple proof of the fact that every countable group Γ is weak Rohlin, that is, there is in the Polish space double-struck A Γ of measure preserving Γ-actions an action T whose orbit in double-struck AΓ under conjugations is dense. In conjunction with earlier results this in turn yields a new characterization of non-Kazhdan groups as those groups which admit such an action T which is also ergodic.

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Every countable group has the weak Rohlin property

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