Publications (89)
Coupling capacity in C*-algebras
Adam Skalski, Ivan G. Todorov, Lyudmila Turowska
Given two unital C*-algebras equipped with states and a positive operator in the enveloping von Neumann algebra of their minimal tensor product, we define three parameters that mea…
Induction for locally compact quantum groups revisited
Mehrdad Kalantar, PaweÅ 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…
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 o…
Completely positive quantum stochastic convolution cocycles and their dilations
Adam Skalski
Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C*-hyperbialgebra are characterised. The characterisation is used to obtai…
The quantum algebra of partial Hadamard matrices
Teo Banica, Adam Skalski
A partial Hadamard matrix is a matrix whose rows are pairwise orthogonal. We associate to each such a certain quantum semigroup of quantum p…
Classifying right-angled Hecke C*-algebras via K-theoretic invariants
Sven Raum, Adam Skalski
Exploiting the graph product structure and results concerning amalgamated free products of C*-algebras we provide an explicit computation of the K-theoretic invariants of right-ang…