97 citations · 519 across the 71 of their papers we have counts for
6 papers · 2 filters
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…
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…
On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules
Adam Skalski, Joachim Zacharias
Let X be a Hilbert bimodule over a C*-algebra A and . Using a finite section method we construct a sequence of completely positive contractions factoring throu…
On a classical scheme in noncommutative multiparameter ergodic theory
Adam Skalski
In the first part of the paper the natural scheme for proving noncommutative individual ergodic theorems for multiple sequences is described and applied to obtain results on unrest…
Entropy of shifts on higher-rank graph C*-algebras
Adam Skalski, Joachim Zacharias
Let O_{Lambda} be a higher rank graph C*-algebra of rank r. For every tuple p of non-negative integers there is a canonical completely positive map Phi^p on O_{Lambda} and a subshi…