62 citations · 62 across the 6 of their papers we have counts for
13 papers
Free quasi-free states and factors of type III (after D. Shlyakhtenko)
Stefaan Vaes
This is a survey paper on the work of D. Shlyakhtenko on free Araki-Woods factors. The paper was written (in French) on the occasion of the Bourbaki seminar. Our original contribut…
A new approach to induction and imprimitivity results
Stefaan Vaes
In the framework of locally compact quantum groups, we provide an induction procedure for unitary corepresentations as well as coactions on C*-algebras. We prove imprimitivity theo…
Measurable Kac cohomology for bicrossed products
Saad Baaj, Georges Skandalis, Stefaan Vaes
We study the Kac cohomology for matched pairs of locally compact groups. This cohomology theory arises from the extension theory of locally compact quantum groups. We prove a topol…
Double crossed products of locally compact quantum groups
Saad Baaj, Stefaan Vaes
For a matched pair of locally compact quantum groups, we construct the double crossed product as a locally compact quantum group. This construction generalizes Drinfeld's quantum d…
Strictly outer actions of groups and quantum groups
Stefaan Vaes
An action of a locally compact group or quantum group on a factor is said to be strictly outer when the relative commutant of the factor in the crossed product is trivial. We show…
On Low-Dimensional Locally Compact Quantum Groups
Stefaan Vaes, Leonid Vainerman
Continuing our research on extensions of locally compact quantum groups, we give a classification of all cocycle matched pairs of Lie algebras in small dimensions and prove that al…