Uniform mixing and completely positive sofic entropy
Dynamical Systems
2016-11-04 v2
Abstract
Let be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving -actions and show that it implies completely positive sofic entropy. When contains an element of infinite order, we use this to produce an uncountable family of pairwise nonisomorphic -actions with completely positive sofic entropy. None of our examples is a factor of a Bernoulli shift.
Cite
@article{arxiv.1603.09026,
title = {Uniform mixing and completely positive sofic entropy},
author = {Tim Austin and Peter Burton},
journal= {arXiv preprint arXiv:1603.09026},
year = {2016}
}
Comments
This version has been revised in accordance with the referee's comments. To appear in Journal d'Analyse Mathematique