29 citations · 161 across the 16 of their papers we have counts for
3 papers · 1 filter
Strong solidity of free Araki-Woods factors
Rémi Boutonnet, Cyril Houdayer, Stefaan Vaes
We show that Shlyakhtenko's free Araki-Woods factors are strongly solid, meaning that for any diffuse amenable von Neumann subalgebra that is the range of a normal conditional expe…
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…
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…