45 citations · 139 across the 19 of their papers we have counts for
5 papers · 1 filter
Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations
Kenny De Commer, Paweł Kasprzak, Adam Skalski +1
To any action of a compact quantum group on a von Neumann algebra which is a direct sum of factors we associate an equivalence relation corresponding to the partition of a space in…
Hopf images in locally compact quantum groups
Paweł Józiak, Paweł Kasprzak, Piotr M. Sołtan
This manuscript is devoted to the study of the concept of a generating subset (a.k.a. Hopf image of a morphism) in the setting of locally compact quantum groups. The aim of this pa…
Fundamental isomorphism theorems for quantum groups
Alexandru Chirvasitu, Souleiman Omar Hoche, Paweł Kasprzak
The lattice of subgroups of a group is the subject of numerous results revolving around the central theme of decomposing the group into "chunks" (subquotients) that can then be com…
Coideals, quantum subgroups and idempotent states
Pawel Kasprzak, Fatemeh Khosravi
We establish a one to one correspondence between idempotent states on a locally compact quantum group G and integrable coideals in the von Neumann algebra of bounded measurable fun…
Integrable actions and quantum subgroups
Paweł Kasprzak, Fatemeh Khosravi, Piotr M. Sołtan
We study homomorphisms of locally compact quantum groups from the point of view of integrability of the associated action. For a given homomorphism of quantum groups $Π\colon\mathb…