45 citations · 139 across the 19 of their papers we have counts for
5 papers · 1 filter
Quantum groups with projection and extensions of locally compact quantum groups
P. Kasprzak, P. M. Sołtan
The main result of the paper is the characterization of those locally compact quantum groups with projection, i.e. non-commutative analogs of semidirect products, which are extensi…
Braided quantum SU(2) groups
Paweł Kasprzak, Ralf Meyer, Sutanu Roy +1
We construct a family of q-deformations of SU(2) for complex parameters q not equal to 0. For real q, the deformation coincides with Woronowicz' compact quantum SU_q(2) group. For…
Quantum automorphism groups of finite quantum groups are classical
Paweł Kasprzak, Piotr M. Sołtan, Stanisław L. Woronowicz
In a recent paper of Bhowmick, Skalski and Sołtan the notion of a quantum group of automorphisms of a finite quantum group was introduced and, for a given finite quantum group G, e…
Quantum groups with projection on von Neumann algebra level
Paweł Kasprzak, Piotr M. Sołtan
We introduce an axiomatization of the notion of a semidirect product of locally compact quantum groups and study properties. Our approach is slightly different from the one introdu…
Rieffel deformation of tensor functor and braided quantum groups
Pawel Kasprzak
In this paper we apply Rieffel deformation to C*- tensor product viewed as a functor on the category of C*-algebras with an abelian group action. In the case of the Rieffel deforma…