Bernoulli disjointness and maximally almost periodic groups
Dynamical Systems
2019-01-14 v3 Group Theory
Abstract
We show that any discrete group containing an infinite, normal, maximally almost periodic subgroup has the Bernoulli Disjointness Property, or BDJ. Also, any group containing enough infinite normal subgroups to separate points has the BDJ. Lastly, any group admitting a minimal free proximal flow has the BDJ.
Cite
@article{arxiv.1808.08771,
title = {Bernoulli disjointness and maximally almost periodic groups},
author = {Andy Zucker},
journal= {arXiv preprint arXiv:1808.08771},
year = {2019}
}
Comments
This paper has been superseded by a new work "Bernoulli Disjointness," joint work with Eli Glasner, Todor Tsankov, and Benjamin Weiss [arXiv:1901.03406]