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Completely positive quantum stochastic convolution cocycles and their dilations

Published online by Cambridge University Press:  01 July 2007

ADAM G. SKALSKI
ADAM G. SKALSKI*
Affiliation:
Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF. e-mail: a.skalski@lancaster.ac.uk
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 1 , July 2007 , pp. 201 - 219
Copyright
Copyright © Cambridge Philosophical Society 2007

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