Completely positive quantum stochastic convolution cocycles and their dilations

• Autores: Adam G. Skalski
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 1, 2007, págs. 201-219
• Idioma: inglés
• DOI: 10.1017/s0305004107000278
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• Resumen

  • 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