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Published October 2019 | public
Journal Article Open

Uniform mixing and completely positive sofic entropy


Let G be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving G-actions and show that it implies completely positive sofic entropy. When G contains an element of infinite order, we use this to produce an uncountable family of pairwise nonisomorphic G-actions with completely positive sofic entropy. None of our examples is a factor of a Bernoulli shift.

Additional Information

© 2019 The Hebrew University of Jerusalem. Received May 13, 2016 and in revised form November 1, 2016. First Online: 12 July 2019. The first author's research was partially supported by the Simons Collaboration on Algorithms and Geometry. The second author's research was partially supported by NSF grants DMS-0968710 and DMS-1464475.

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August 19, 2023
August 19, 2023