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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1998, Volume 5, Number 1/2, Pages 87–94 (Mi jmag429)  
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
Full-text PDF (230 kB) Citations (1)
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
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Neshveyev, “Quantum Markov K-systems”, Mat. Fiz. Anal. Geom., 5:1/2 (1998), 87–94
Citation in format AMSBIB
\Bibitem{Nes98}
\by S.~V.~Neshveyev
\paper Quantum Markov K-systems
\jour Mat. Fiz. Anal. Geom.
\yr 1998
\vol 5
\issue 1/2
\pages 87--94
\mathnet{http://mi.mathnet.ru/jmag429}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1631830}
\zmath{https://zbmath.org/?q=an:0922.46059}
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  • https://www.mathnet.ru/eng/jmag/v5/i1/p87
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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