97 citations · 519 across the 71 of their papers we have counts for
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Actions of locally compact (quantum) groups on ternary rings of operators, their crossed products and generalized Poisson boundaries
Pekka Salmi, Adam Skalski
Actions of locally compact groups and quantum groups on W*-ternary rings of operators are discussed and related crossed products introduced. The results generalise those for von Ne…
Wreath products of finite groups by quantum groups
Amaury Freslon, Adam Skalski
We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the o…
Open quantum subgroups of locally compact quantum groups
Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski
The notion of an open quantum subgroup of a locally compact quantum group is introduced and given several equivalent characterizations in terms of group-like projections, inclusion…
Lévy Processes on Quantum Permutation Groups
Uwe Franz, Anna Kula, Adam Skalski
We describe basic motivations behind quantum or noncommutative probability, introduce quantum Lévy processes on compact quantum groups, and discuss several aspects of the study of…
The canonical central exact sequence for locally compact quantum groups
Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
For a locally compact quantum group we define its center, , and its quantum group of inner automorphisms, . We show…
Quantum families of invertible maps and related problems
Adam Skalski, Piotr M. Sołtan
The notion of families of quantum invertible maps (-algebra homomorphisms satisfying Podleś condition) is employed to strengthen and reinterpret several results concerning uni…