Geodesic
$JW$-factors and antiautomorphisms of von~Neumann algebras
Izvestiya. Mathematics , Tome 26 (1986) no. 1, pp. 201-209

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The connection between $JW$-factors and their enveloping von Neumann algebras is studied for $JW$-factors not isomorphic to the Hermitian part of any von Neumann algebra. It is proved that these $JW$-factors are determined by an involutive $^*$-antiautomorphism of the enveloping von Neumann algebra. A classification of $JW$-factors of type III according to types III$_\lambda$, $0\leqslant\lambda\leqslant1$, is given, and the existence of each type is proved. It is shown that there are only two nonisomorphic $JW$-factors of type II$_1$ for which the enveloping von Neumann algebras are hyperfinite. Bibliography: 18 titles. 
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     author = {Sh. A. Ayupov},
     title = {$JW$-factors and antiautomorphisms of {von~Neumann} algebras},
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Sh. A. Ayupov. $JW$-factors and antiautomorphisms of von~Neumann algebras. Izvestiya. Mathematics , Tome 26 (1986) no. 1, pp. 201-209. http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a7/