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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Huzihiro Araki (1975)
Recherche Coopérative sur Programme n°25
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L.J. Bunce, J. Hamhalter (1994)
Mathematische Zeitschrift
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Erwin Neuhardt (1990)
Mathematica Scandinavica
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Allah-Bakhsh Thaheem (1979)
Aplikace matematiky
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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.
Carlo Cecchini (1995)
Mathematica Scandinavica
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S. Doplicher, R. Longo (1984)
Inventiones mathematicae
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Robert Pluta, Bernard Russo (2015)
Studia Mathematica
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It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple)...
Shavkat Ayupov, Karimbergen Kudaybergenov, Rauaj Djumamuratov (2012)
Open Mathematics
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Given a von Neumann algebra M, we consider the central extension E(M) of M. We introduce the topology t c(M) on E(M) generated by a center-valued norm and prove that it coincides with the topology of local convergence in measure on E(M) if and only if M does not have direct summands of type II. We also show that t c(M) restricted to the set E(M)h of self-adjoint elements of E(M) coincides with the order topology on E(M)h if and only if M is a σ-finite type Ifin von Neumann algebra. ...
Mirzavaziri, M., Moslehian, M.S. (2009)
General Mathematics
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