Quantum Markov Semigroups (Product Systems and Subordination)

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We show that if a product system comes from a quantum Markov semigroup, then it carries a natural Borel structure with respect to which the semigroup may be realized in terms of a measurable representation. We show, too, that the dual product system of a Borel product system also carries a natural Borel structure. We apply our analysis to study the order interval consisting of all quantum Markov semigroups that are subordinate to a given one.
Revised according to the referee's comments and suggestions; to appear in International Journal of Mathematics

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Operator Algebras, 46L55, 46L53, 46L57, 46L60, 81S25, 47L90

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http://salesiana.dossiersoluciones.com/handle/123456789/103878

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510653
 http://arxiv.org/abs/math/0510653

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arXiv