On the class of systems which are disjoint from every ergodic system

Published 1 May 2024 in math.DS | (2405.00463v1)

Abstract: In this note we give a fairly direct proof of a recent theorem of Gorska, Lemanczyk and de la Rue which characterises the class of measure preserving transformations that are disjoint from every ergodic measure preserving transformation. Our proof works just as well for any countable acting group.

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Construct nontrivial actions disjoint from all ergodic actions for general countable groups

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