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Mathematics of the USSR-Izvestiya, 1986, Volume 26, Issue 1, Pages 201–209
DOI: https://doi.org/10.1070/IM1986v026n01ABEH001138
(Mi im1352)
 

This article is cited in 3 scientific papers (total in 3 papers)

$JW$-factors and antiautomorphisms of von Neumann algebras

Sh. A. Ayupov
References:
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
Bibliographic databases:
UDC: 517.98
MSC: Primary 46L70; Secondary 46L35, 46L40
Language: English
Original paper language: Russian
Citation: Sh. A. Ayupov, “$JW$-factors and antiautomorphisms of von Neumann algebras”, Math. USSR-Izv., 26:1 (1986), 201–209
Citation in format AMSBIB
\Bibitem{Ayu85}
\by Sh.~A.~Ayupov
\paper $JW$-factors and antiautomorphisms of von~Neumann algebras
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 1
\pages 201--209
\mathnet{http://mi.mathnet.ru//eng/im1352}
\crossref{https://doi.org/10.1070/IM1986v026n01ABEH001138}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=779194}
\zmath{https://zbmath.org/?q=an:0587.46057|0573.46042}
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  • https://doi.org/10.1070/IM1986v026n01ABEH001138
  • https://www.mathnet.ru/eng/im/v49/i1/p211
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:299
    Russian version PDF:120
    English version PDF:21
    References:61
    First page:1
     
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