12 papers
Scaling automorphisms of compact quantum groups
Jacek Krajczok
In this short article we verify the conjecture proposed by P. M. Sołtan and the author, by proving that a second countable compact quantum group whose scaling automorphisms are inn…
Crossed product functors associated to -pseudofunctions
Jacek Krajczok, Ebrahim Samei, Timo Siebenand +1
We show that the -pseudofunctions, which were recently shown to lead to exotic completions of group -algebras by Wiersma and the second named author, can be used to co…
Braided quantum group - a case study
Jacek Krajczok, Piotr. M. SoÅtan
We continue the study of the braided compact quantum group for complex satisfying introduced by Kasprzak, Meyer, Roy and Woronowicz (J. Noncommut.…
Asymptotic invariants for fusion algebras associated with compact quantum groups
Jacek Krajczok, Adam Skalski
We introduce and study certain asymptotic invariants associated with fusion algebras (equipped with a dimension function), which arise naturally in the representation theory of com…
The standard construction for cocycle twisted and braided tensor product W-algebras
K. De Commer, J. Krajczok
Given a locally compact quantum group and a (generalized) dual unitary -cocycle , any W-algebra with a -action can be twisted into a new…
Cowling-Haagerup constant of the product of discrete quantum groups
Jacek Krajczok
We show that (central) Cowling-Haagerup constant of discrete quantum groups is multiplicative, which extends the result of Freslon to general (not necesarilly unimodular) discrete…