Abért, Miklós and Weiss, B. (2013) Bernoulli actions are weakly contained in any free action. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 33 (2). pp. 323333. ISSN 01433857

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Abstract
Let Γ be a countable group and let f be a free probability measurepreserving action of Γ. We show that all Bernoulli actions of Γ are weakly contained in f. It follows that for a finitely generated group Γ, the cost is maximal on Bernoulli actions for Γ and that all free factors of i.i.d. (independent and identically distributed) actions of Γ have the same cost. We also show that if f is ergodic, but not strongly ergodic, then f is weakly equivalent to f×I, where Idenotes the trivial action of Γ on the unit interval. This leads to a relative version of the GlasnerWeiss dichotomy. © 2012 Cambridge University Press.
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  06 Feb 2014 15:01 
Last Modified:  06 Feb 2014 15:01 
URI:  http://real.mtak.hu/id/eprint/10014 
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