5 citations · 6 across the 5 of their papers we have counts for
9 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…
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…
Podleś Spheres for the Braided Quantum
Piotr M. Sołtan
Starting with the braided quantum group for a complex deformation parameter we perform the construction of the quotient $\operatorname{SU}_q(2)/\mathbb…
Kawada-Itô-Kelley Theorem for Quantum Semigroups
Paweł Kasprzak, Fatemeh Khosravi, Piotr M. Sołtan
Idempotent states on locally compact quantum semigroups with weak cancellation properties are shown to be Haar states on a certain sub-object described by an operator system with c…
Quantum Semigroups from Synchronous Games
Piotr M. Sołtan
We show that the C*-algebras associated with synchronous games give rise to certain quantum families of maps between the input and output sets of the game. In particular situations…
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…