5 papers
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.…
Quantum Mycielskians: symmetries, twin vertices and distinguishing labelings
Arkadiusz Bochniak, Igor CheÅstowski, PaweÅ Kasprzak +1
We investigate a quantum generalization of the Mycielski construction for quantum graphs. In particular, we analyze the quantum symmetries of quantum Mycielskians and their relatio…
On certain invariants of compact quantum groups
Jacek Krajczok, Piotr M. SoÅtan
We introduce and study a number of invariants of locally compact quantum groups defined by their scaling and modular groups and the spectrum of their modular elements. Focusing mai…
Examples of compact quantum groups with a factor
Jacek Krajczok, Piotr M. SoÅtan
For each we exhibit an uncountable family of compact quantum groups such that the von Neumann algebra is th…
Invariants of the quantum graph of the partial trace
Wojciech Paupa, Piotr M. SoÅtan
We compute the independence number, zero-error capacity, and the values of the Lovász function and the quantum Lovász function for the quantum graph associated to the partial tra…