Quantum Stochastic Convolution Cocycles II

  title={Quantum Stochastic Convolution Cocycles II},
  author={J. Martin Lindsay and Adam G. Skalski},
  journal={Communications in Mathematical Physics},
Schürmann’s theory of quantum Lévy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras. Quantum stochastic convolution cocycles on a C*-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic differential equations with completely bounded coefficients, and the structure of their stochastic… 
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  • Adam G. Skalski
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 2007
Abstract Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C*-hyperbialgebra are characterised. The characterisation is used to obtain


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