By the technique of Longo's sector, the following two results are obtained. (1) A proof is given to Ocneanu's announcement about the non-existence of paragroups for Coxeter graphs _E_7 and _D_odd. (2) Subfactors of the type III1 AFD factor with index 3 are classified.
Cite this article
Masaki Izumi, Application of Fusion Rules to Classification of Subfactors. Publ. Res. Inst. Math. Sci. 27 (1991), no. 6, pp. 953–994DOI 10.2977/PRIMS/1195169007