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Eurasian Mathematical Journal, 2012, Volume 3, Number 2, Pages 12–20 (Mi emj83)  
Index theory for real factors

S. Albeverioabcde, Sh. A. Ayupovf, A. A. Rakhimovf, R. A. Dadakhodjaevf

a CERFIM (Locarno)
b Institut für Angewandte Mathematik, Universität Bonn, Bonn (Germany)
c BiBoS
d SFB 611, HCM, IZKS
e Acc. Arch. (USI)
f Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent (Uzbekistan)
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Abstract: The notion of index for arbitrary real factors is introduced and investigated. The main tool in our approach is the reduction of real factors to involutive $*$-antiautomorphisms of their complex enveloping von Neumann algebras. Similarly to the complex case the values of the index for real factors are calculated.
Keywords and phrases: $W^*$-algebras, real factor, index of subfactor.
Received: 24.01.2012
Bibliographic databases:
Document Type: Article
MSC: 15A42, 15A12
Language: English
Citation: S. Albeverio, Sh. A. Ayupov, A. A. Rakhimov, R. A. Dadakhodjaev, “Index theory for real factors”, Eurasian Math. J., 3:2 (2012), 12–20
Citation in format AMSBIB
\Bibitem{AlbAyuRak12}
\by S.~Albeverio, Sh.~A.~Ayupov, A.~A.~Rakhimov, R.~A.~Dadakhodjaev
\paper Index theory for real factors
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 2
\pages 12--20
\mathnet{http://mi.mathnet.ru/emj83}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024117}
\zmath{https://zbmath.org/?q=an:1273.46043}
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