65 citations · 96 across the 8 of their papers we have counts for
6 papers · 1 filter
A New Characterisation of Idempotent States on Finite and Compact Quantum Groups
Uwe Franz, Adam Skalski
We show that idempotent states on finite quantum groups correspond to pre-subgroups in the sense of Baaj, Blanchard, and Skandalis. It follows that the lattices formed by the idemp…
Convolution semigroups of states
J. Martin Lindsay, Adam Skalski
Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group. Here we i…
On isometric dilations of product systems of C*-correspondences and applications to families of contractions associated to higher-rank graphs
Adam Skalski
Let E be a product system of C*-correspondences over N^r. Some sufficient conditions for the existence of a not necessarily regular isometric dilation of a completely contractive r…
Quantum Isometry Groups of 0- Dimensional Manifolds
Jyotishman Bhowmick, Debashish Goswami, Adam Skalski
Quantum isometry groups of spectral triples associated with approximately finite-dimensional C*-algebras are shown to arise as inductive limits of quantum symmetry groups of corres…
Quantum stochastic convolution cocycles II
J. Martin Lindsay, Adam Skalski
Schuermann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum g…
Quantum stochastic convolution cocycles
Adam Skalski
A concept of quantum stochastic convolution cocycle is introduced and studied in two different contexts -- purely algebraic and operator space theoretic. A quantum stochastic convo…