Completely positive quantum stochastic convolution cocycles and their dilations

Adam Skalski · Mathematical Proceedings of the Cambridge Philosophical Society · 2007

Abstract Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on aC*-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on aC*-bialgebra.

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