Geodesic
Asymptotic properties of von Neumann algebras
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 27 (1985), pp. 129-166.

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One gives a survey of the results regarding asymptotic commutativity in von Neumann algebras. 
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     author = {V. Ya. Golodets},
     title = {Asymptotic properties of von {Neumann} algebras},
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V. Ya. Golodets. Asymptotic properties of von Neumann algebras. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 27 (1985), pp. 129-166. http://geodesic.mathdoc.fr/item/INTD_1985_27_a4/