Bernoulli disjointness and maximally almost periodic groups

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.

This paper has been superseded by a new work "Bernoulli Disjointness," joint work with Eli Glasner, Todor Tsankov, and Benjamin Weiss [arXiv:1901.03406]