2 N ov 2 01 6 Classification of Roberts actions of strongly amenable C ∗ - tensor categories on the injective factor of type III 1 Toshihiko MASUDA
نویسنده
چکیده
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 III1 for finitely generated strongly amenable C -tensor categories by applying Popa’s classification theorem of strongly amenable subfactors of type III1.
منابع مشابه
Classification of Strongly Free Actions of Discrete Amenable Groups on Strongly Amenable Subfactors of Type Iii0
In the theory of operator algebras, classification of group actions on approximately finite dimensional (AFD) factors has been done since Connes’s work [2]. In subfactor theory, various results on classification of group actions have been obtained. The most powerful results have been obtained by Popa in [16], who classified the strongly outer actions of discrete amenable groups on strongly amen...
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