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This article is cited in 3 scientific papers (total in 3 papers)
$JW$-factors and antiautomorphisms of von Neumann algebras
Sh. A. Ayupov
Abstract:
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.
Received: 10.03.1983
Citation:
Sh. A. Ayupov, “$JW$-factors and antiautomorphisms of von Neumann algebras”, Math. USSR-Izv., 26:1 (1986), 201–209
Linking options:
https://www.mathnet.ru/eng/im1352https://doi.org/10.1070/IM1986v026n01ABEH001138 https://www.mathnet.ru/eng/im/v49/i1/p211
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Abstract page: | 299 | Russian version PDF: | 120 | English version PDF: | 21 | References: | 61 | First page: | 1 |
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