Index of real subfactors of W*-algebras

A. A. Rakhimov^ab, Kh. Kh. Boltaev<sup>c

a</sup> 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

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.

UDC: 517.98

MSC: 46L10

Received: 14.10.2019

DOI: 10.47910/FEMJ202024