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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…