A survey on the classification of factors of von Neumann algebras.
T. V. Panchapagesan (1993)
Extracta Mathematicae
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T. V. Panchapagesan (1993)
Extracta Mathematicae
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Erwin Neuhardt (1990)
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L.J. Bunce, J. Hamhalter (1994)
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Muratov, M.A., Chilin, V.I. (2005)
Zapiski Nauchnykh Seminarov POMI
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Huzihiro Araki (1975)
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Carlo Cecchini (1995)
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Allah-Bakhsh Thaheem (1979)
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The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
S. Doplicher, R. Longo (1984)
Inventiones mathematicae
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Stanisław Goldstein (1984)
Studia Mathematica
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Yoshihiro Nakamura, Fumio Hiai (1987)
Mathematische Zeitschrift
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Carlo Cecchini (1998)
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The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this...
Takehiko Yamanouchi (1992)
Mathematica Scandinavica
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Inoue, Atsushi, Ogi, Hidekazu, Takakura, Mayumi (2007)
International Journal of Mathematics and Mathematical Sciences
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