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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1998, Volume 5, Number 1/2, Pages 87–94
(Mi jmag429)
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This article is cited in 1 scientific paper (total in 1 paper)
Quantum Markov K-systems
S. V. Neshveyev B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Abstract:
A characterization of Markov states in terms of their modular groups is given. The factoriality of such a state is proved. In particular, the non-commutative Markov shift is a K-system. For any mixing Markov automorphism, a quantum K-system with entropy equal to that of the automorphism is constructed.
Received: 12.10.1997
Citation:
S. V. Neshveyev, “Quantum Markov K-systems”, Mat. Fiz. Anal. Geom., 5:1/2 (1998), 87–94
Linking options:
https://www.mathnet.ru/eng/jmag429 https://www.mathnet.ru/eng/jmag/v5/i1/p87
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Abstract page: | 125 | Full-text PDF : | 45 |
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