Geodesic
Quantum Markov K-systems
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 87-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{JMAG_1998_5_1_a6,
     author = {S. V. Neshveyev},
     title = {Quantum {Markov} {K-systems}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {87--94},
     year = {1998},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a6/}
}
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S. V. Neshveyev. Quantum Markov K-systems. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 87-94. http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a6/