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Scientific reports of Bukhara State University

Abstract

In the article the index of the material sub-factor of the final factor is considered. A sequence of increasing material sub-factors of the final factor is constructed. A set of all possible values of the indices of real sub-factors of the final factor is obtained.

First Page

68

Last Page

75

References

1. Albeverio S., Ayupov Sh. A., Rakhimov A. A., Dadakhodjaev R. A. On Jones' Index for Real W*-algebras. Eurasian Math. J., 1:4 (2010). R. 5-19.

2. Raximov A.A., Boltayev X.X., Primeri indeksov veshestvennix W*-podalgebr kompleksnogo faktora tipa In. uzb.mat.jurnal. 2011. - № 4. – S. 168-170.

3. Usmanov Sh.M. Operator-value weights on real W*-algebras and reversible JW-algebras. Sbornik Mathematics, 1999, 190:10, 1505-1522.

4. Li Bing-Ren. Introduction to operator algebras, World Sci. Pub. Co. Pte. Ltd. 1992. – 738 p.

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