Publications of the Research Institute for Mathematical Sciences


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Volume 27, Issue 6, 1991, pp. 953–994
DOI: 10.2977/prims/1195169007

Application of Fusion Rules to Classification of Subfactors

Masaki Izumi[1]

(1) Research Institute for Mathematical Sciences, Kyoto University, 606-8502, KYOTO, JAPAN

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 E7 and Dodd. (2) Subfactors of the type III1 AFD factor with index 3 are classified.

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Izumi Masaki: Application of Fusion Rules to Classification of Subfactors. Publ. Res. Inst. Math. Sci. 27 (1991), 953-994. doi: 10.2977/prims/1195169007