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Published November 16, 2016 | Submitted
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Weak equivalence of stationary actions and the entropy realization problem

Abstract

We introduce the notion of weak containment for stationary actions of a countable group and define a natural topology on the space of weak equivalence classes. We prove that Furstenberg entropy is an invariant of weak equivalence, and moreover that it descends to a continuous function on the space of weak equivalence classes.

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Created:
August 20, 2023
Modified:
October 23, 2023