Uniform mixing and completely positive sofic entropy

  • Tim Austin
  • Peter BurtonEmail author


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.


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Copyright information

© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Department of MathematicsCalifornia Institute Of TechnologyPasadenaUSA

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