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math.QA2020
Modular properties of type I locally compact quantum groups
Jacek Krajczok
The following paper is devoted to the study of type I locally compact quantum groups. We show how various operators related to the modular theory of the Haar integrals on $\mathbb{…
math.QA2018
Symmetry of eigenvalues of operators associated with representations of compact quantum groups
Jacek Krajczok
We ask the question whether for a given unitary representation the associated operator has spectrum invariant under inversion -- in th…
math.QA2017★ 1 cited
Compact quantum groups with representations of bounded degree
Jacek Krajczok, Piotr M. Sołtan
We show that a compact quantum group all whose irreducible representations have dimension bounded by a fixed constant must be of Kac type, in other words, its Haar measure is a tra…