2 citations · 3 across the 4 of their papers we have counts for
6 papers
Compact quantum group structures on type-I -algebras
Alexandru Chirvasitu, Jacek Krajczok, Piotr M. Sołtan
We prove a number of results having to do with equipping type-I -algebras with compact quantum group structures, the two main ones being that such a compact quantum g…
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{…
The quantum disk is not a quantum group
Jacek Krajczok, Piotr M. Sołtan
We show that the quantum disk, i.e. the quantum space corresponding to the Toeplitz C*-algebra does not admit any compact quantum group structure. We prove that if such a structure…
Coamenability of type I locally compact quantum groups
Jacek Krajczok
We establish two conditions equivalent to coamenability for type I locally compact quantum groups. The first condition is concerned with the spectra of certain convolution operator…
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…
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…