a1 Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF. e-mail: email@example.com
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.
(Received April 04 2006)
(Revised August 25 2006)
p1 Permanent address: Department of Mathematics, University of Łódź, ul. Banacha 22, 90-238 Łódź, Poland.