65 citations · 93 across the 7 of their papers we have counts for
7 papers
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…
On idempotent states on quantum groups
Uwe Franz, Adam Skalski
Idempotent states on a compact quantum group are shown to yield group-like projections in the multiplier algebra of the dual discrete quantum group. This allows to deduce that ever…
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…
Approximation of quantum Levy processes by quantum random walks
Uwe Franz, Adam Skalski
Every quantum Levy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.