On irreducible hyperfinite real subfactors with index larger than 4
A. A. RakhimovDepartment of General Mathematics, Tashkent state pedagogical University named after Nizami, Tashkent, UzbekistanKhabib BoltayevDepartment of General Mathematics, Tashkent state pedagogical University named after Nizami, Tashkent, Uzbekistan
ABI
Abstract
It is shown any hyperfinite factor has an involutive *-antiautomorphism. It is proved that a real subfactor is irreducible if and only if its enveloping factor is irreducible. Using constructed examples in the complex case, as well as using an involutive *-antiautomorphism of a W*-algebra, examples of irreducible hyperfinite real subfactors with index larger than 4 are constructed.
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