JournalsprimsVol. 27 , No. 6DOI 10.2977/prims/1195169007

Application of Fusion Rules to Classification of Subfactors

  • Masaki Izumi

    Kyoto University, Japan
Application of Fusion Rules to Classification of Subfactors cover

Abstract

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.