Weak equivalence of stationary actions and the entropy realization problem

P Burton
P Burton
M Lupini
M Lupini

arXiv: Dynamical Systems, 2016.

Cited by: 2|Bibtex|Views0|

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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