Amenable actions and almost invariant sets

نویسندگان
چکیده

منابع مشابه

Amenable Actions and Almost Invariant Sets

In this paper, we study the connections between properties of the action of a countable group Γ on a countable set X and the ergodic theoretic properties of the corresponding generalized Bernoulli shift, i.e., the corresponding shift action of Γ on MX , where M is a measure space. In particular, we show that the action of Γ on X is amenable iff the shift Γ ↪→MX has almost invariant sets.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2007

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-07-09116-2