4 citations · 9 across the 10 of their papers we have counts for
4 papers · 1 filter
Weak containment of measure preserving group actions
Peter Burton, Alexander S. Kechris
We survey recent progress in the theory of weak containment of measure preserving group actions.
Invariant random subgroups and action versus representation maximality
Peter J. Burton, Alexander S. Kechris
We show that weak containment of free ergodic measure-preserving actions of is not equivalent to weak containment of the corresponding Koopman representations.…
Uniform mixing and completely positive sofic entropy
Tim Austin, Peter Burton
Let be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving -actions and show that it implies completely positive sofic entropy. Wh…
Weak equivalence of stationary actions and the entropy realization problem
Peter Burton, Martino Lupini, Omer Tamuz
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 Furste…