7 papers · 1 filter
Quantum Mycielskians: symmetries, twin vertices and distinguishing labelings
Arkadiusz Bochniak, Igor Chełstowski, Paweł 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…
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 .…
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…
Shifts of group-like projections and contractive idempotent functionals for locally compact quantum groups
Paweł Kasprzak
A one to one correspondence between shifts of group-like projections on a locally compact quantum group which are preserved by the scaling group and contractive idem…
The Lattice of Idempotent States on a Locally Compact Quantum Group
Paweł Kasprzak, Piotr M. Sołtan
We study lattice operations on the set of idempotent states on a locally compact quantum group corresponding to the operations of intersection of compact subgroups and forming the…
Group-like projections for locally compact quantum groups
Ramin Faal, Paweł Kasprzak
Let be a locally compact quantum group. We give a 1-1 correspondence between group-like projections in preserved by the scaling group and idempo…