arXiv subjects

R. A. Dadakhodjaev

Publications and source records attributed to R. A. Dadakhodjaev.

2 recordsLinked to original sources

arXiv2011

Index Theory for Real Factors

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 *-anti-automorphisms of their complex enveloping von Neumann algebras. Similar to the complex case the values of the index for real factors are calculated.

math.OA↗

arXiv2009

Index for Finite Real Factors

For real factors the notions of the coupling constant and the index are introduced and investigated. The possible values of the index for type II$_1$ real factors are calculated, in a similar way as for the complex case.

math.OA↗