38 citations · 241 across the 41 of their papers we have counts for
4 papers · 1 filter
von Neumann's problem and extensions of non-amenable equivalence relations
Lewis Bowen, Daniel Hoff, Adrian Ioana
The goals of this paper are twofold. First, we generalize the result of Gaboriau and Lyons [GL07] to the setting of von Neumann's problem for equivalence relations, proving that fo…
II_1 factors with non-isomorphic ultrapowers
Rémi Boutonnet, Ionut Chifan, Adrian Ioana
We prove that there exist uncountably many separable II factors whose ultrapowers (with respect to arbitrary ultrafilters) are non-isomorphic. In fact, we prove that the famili…
Weak containment rigidity for distal actions
Adrian Ioana, Robin Tucker-Drob
We prove that if a measure distal action of a countable group is weakly contained in a strongly ergodic probability measure preserving action of , then is a fact…
Local spectral gap in simple Lie groups and applications
Rémi Boutonnet, Adrian Ioana, Alireza Salehi Golsefidy
We introduce a novel notion of {\it local spectral gap} for general, possibly infinite, measure preserving actions. We establish local spectral gap for the left translation action…