An analogue of Connes-Haagerup approach for classification of subfactors of type Ⅲ_1

摘要

Popa proved that strongly amenable subfactors of type Ⅲ_1 with the same type Ⅱ and type Ⅲ principal graphs are completely classified by their standard invariants. In this paper, we present a different proof of this classification theorem based on Connes and Haagerup's arguments on the uniqueness of the injective factor of type Ⅲ_1.