83 citations · 651 across the 74 of their papers we have counts for
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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…
Non-semi-regular quantum groups coming from number theory
Saad Baaj, Georges Skandalis, Stefaan Vaes
In this paper, we study C*-algebraic quantum groups obtained through the bicrossed product construction. Examples using groups of adeles are given and they provide the first exampl…
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…