5 citations · 6 across the 6 of their papers we have counts for
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Quantum correlations on quantum spaces
Arkadiusz Bochniak, Paweł Kasprzak, Piotr M. Sołtan
For given quantum (non-commutative) spaces and we study the quantum space of maps from to .…
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…