97 citations · 519 across the 71 of their papers we have counts for
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Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
Biswarup Das, Uwe Franz, Anna Kula +1
We study the first and second cohomology groups of the -algebras of the universal unitary and orthogonal quantum groups and . This provides valuable information…
Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
Adam Skalski, Ami Viselter
The subject of this paper is the study of convolution semigroups of states on a locally compact quantum group, generalising classical families of distributions of a Lévy process on…
Positive Herz-Schur multipliers and approximation properties of crossed products
Andrew McKee, Adam Skalski, Ivan G. Todorov +1
For a -algebra and a set we give a Stinespring-type characterisation of the completely positive Schur -multipliers on . We then relate them t…
On MASAs in -deformed von Neumann algebras
Martijn Caspers, Adam Skalski, Mateusz Wasilewski
We study certain -deformed analogues of the maximal abelian subalgebras of the group von Neumann algebras of free groups. The radial subalgebra is defined for Hecke deformed von…
Introduction to compact and discrete quantum groups
Uwe Franz, Adam Skalski, Piotr M. Sołtan
These are notes from introductory lectures at the graduate school "Topological Quantum Groups" in Będlewo (June 28--July 11, 2015). The notes present the passage from Hopf algebras…
Induction for locally compact quantum groups revisited
Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski +1
In this paper we revisit the theory of induced representations in the setting of locally compact quantum groups. In the case of induction from open quantum subgroups, we show that…