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Quantum Markov Semigroups (Product Systems and Subordination)

Paul S. Muhly·Baruch Solel
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Abstract

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.

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Paul S. Muhly, Baruch Solel. 2006-07-04. Quantum Markov Semigroups (Product Systems and Subordination). https://arxiv.org/abs/math/0510653

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