Journal article
QUANTUM MARKOV SEMIGROUPS: PRODUCT SYSTEMS AND SUBORDINATION
International journal of mathematics, Vol.18(6), pp.633-669
07/2007
DOI: 10.1142/S0129167X07004254
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.
Details
- Title: Subtitle
- QUANTUM MARKOV SEMIGROUPS: PRODUCT SYSTEMS AND SUBORDINATION
- Creators
- PAUL S MUHLY - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USABARUCH SOLEL - Department of Mathematics, Technion, 32000 Haifa, Israel
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.18(6), pp.633-669
- Publisher
- World Scientific Publishing Company
- DOI
- 10.1142/S0129167X07004254
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 07/2007
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083837902771
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