83 citations · 651 across the 74 of their papers we have counts for
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A class of II_1 factors with exactly two group measure space decompositions
Anna Sofie Krogager, Stefaan Vaes
We construct the first II_1 factors having exactly two group measure space decompositions up to unitary conjugacy. Also, for every positive integer , we construct a II_1 factor…
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…
Cohomology and -Betti numbers for subfactors and quasi-regular inclusions
Sorin Popa, Dimitri Shlyakhtenko, Stefaan Vaes
We introduce -Betti numbers, as well as a general homology and cohomology theory for the standard invariants of subfactors, through the associated quasi-regular symmetric enve…
On the optimal paving over MASAs in von Neumann algebras
Sorin Popa, Stefaan Vaes
We prove that if is a singular MASA in a II factor and is a free ultrafilter, then for any , with , and any , there exists a…