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 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.



Author: Paul S. Muhly; Baruch Solel

Source: https://archive.org/



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