arXiv:1509.01861 [math.DS]AbstractReferencesReviewsResources
Completely positive entropy actions of sofic groups with $\mathbb{Z}$ in their center
Published 2015-09-06Version 1
Let $\Gamma$ be a sofic group with a copy of $\mathbb{Z}$ in its center. We construct an uncountable family of pairwise nonisomorphic measure-preserving $\Gamma$ actions with completely positive entropy, none of which is a factor of a Bernoulli shift. Our construction shows that the relation of isomorphism among completely positive entropy $\Gamma$ actions is not smooth, in contrast with the relation of isomorphism among Bernoulli shifts.
Comments: 24 pages
Categories: math.DS
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