Completely positive quantum stochastic convolution cocycles and their dilations

Details Completely positive quantum stochastic convolution cocycles and their dilations Completely positive quantum stochastic convolution cocycles and their dilations

2006-11-09

arxiv.org/abs/math/0611271v1

Mathematics

Operator Algebras

20 pages; to appear in Mathematical Proceedings of the Cambridge Philosophical Society (2007)

Scientific paper

10.1017/S0305004107000278

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.

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