Classification of Roberts actions of strongly amenable C^* tensor categories on the injective factor of type III_1

Abstract

In this paper, we generalize Izumi's result on uniqueness of realization of finite C${}^{\ast }$-tensor categories in the endomorphism category of the injective factor of type II_1 for finitely generated strongly amenable C${}^{\ast }$-tensor categories by applying Popa's classification theorem of strongly amenable subfactors of type III_1.

12 pages

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