Markov quantum semigroups admit covariant MarkovC*-dilations |
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| Authors: | Jean-Luc Sauvageot |
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| Institution: | (1) Laboratoire de Probabilités, Université Pierre et Marie Curie, 4 Place Jussieu, F-75230 Paris Cedex 05, France |
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| Abstract: | Through a Daniell-Kolmogorov type construction, to any Markov quantum semigroup on aC*-algebra there is associated a quantum stochastic process which is a dilation of the semigroup, and satisfies a covariance rule which implies the weak Markov property. |
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