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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 2, Pages 234–246
DOI: https://doi.org/10.47910/FEMJ202024 (Mi dvmg437) 		 
Index of real subfactors of W*-algebras

A. A. Rakhimovab, Kh. Kh. Boltaevc

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Branch of the Moscow State University named after M.V. Lomonosov in the city of Tashkent
c Tashkent Temir YO'L Muxandislari Instituti
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DOI: https://doi.org/10.47910/FEMJ202024
Abstract: The index of a real subfactor is defined and the set of possible values of index is found. It is proved, that some properties of an index truly also in a real case, and properties which are not true for real subfactors are shown. By means of examples for each pair C*-algebras $N\subset M$ schemes of construction of graph are given.
Key words: real subfactors, index of real subfactors, graphs.
Received: 14.10.2019
Document Type: Article
UDC: 517.98
MSC: 46L10
Language: Russian
Citation: A. A. Rakhimov, Kh. Kh. Boltaev, “Index of real subfactors of W*-algebras”, Dal'nevost. Mat. Zh., 20:2 (2020), 234–246
Citation in format AMSBIB
\Bibitem{RakBol20}
\by A.~A.~Rakhimov, Kh.~Kh.~Boltaev
\paper Index of real subfactors of W*-algebras
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 234--246
\mathnet{http://mi.mathnet.ru/dvmg437}
\crossref{https://doi.org/10.47910/FEMJ202024}
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