Classification of Roberts actions of strongly amenable C^* tensor   categories on the injective factor of type III_1
  In this paper, we generalize Izumi's result on uniqueness of realization of finite C$^*$-tensor categories in the endomorphism category of the injective factor of type II_1 for finitely generated strongly amenable C$^*$-tensor categories by applying Popa's classification theorem of strongly amenable subfactors of type III_1. 
Toshihiko Masuda
math.OA math.CT