Completely positive quantum stochastic convolution cocycles and their dilations
Operator Algebras
2009-11-11 v1 Probability
Abstract
Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C*-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on a C*-bialgebra.
Cite
@article{arxiv.math/0611271,
title = {Completely positive quantum stochastic convolution cocycles and their dilations},
author = {Adam Skalski},
journal= {arXiv preprint arXiv:math/0611271},
year = {2009}
}
Comments
20 pages; to appear in Mathematical Proceedings of the Cambridge Philosophical Society (2007)