Every countable group has the weak Rohlin property

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)932-936
Number of pages5
JournalBulletin of the London Mathematical Society
Volume38
Issue number6
DOIs
StatePublished - Dec 2006

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