JournalsprimsVol. 31, No. 4pp. 609–624

Symmetric Flat Connections, Triviality of Loi's Invariant and Orbifold Subfactors

  • Satoshi Goto

    University of Tokyo, Japan
Symmetric Flat Connections, Triviality of Loi's Invariant and Orbifold Subfactors cover
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Abstract

We define a notion of symmetric connections on subfactors and get a sufficient condition for a subfactor to have a symmetric connection. We also give a necessary and sufficient condition for Loi's invariant of a non-strongly outer automorphism of a subfactor to be trivial in the case with a symmetric connection. We apply this result to non-AFD SU(_n_k subfactors and construct orbifold subfactors of non-AFD SU(_n_k subfactors as well as the AFD case, as conjectured in our previous work. This generalizes constructions of Evans-Kawahigashi and Xu.

Cite this article

Satoshi Goto, Symmetric Flat Connections, Triviality of Loi's Invariant and Orbifold Subfactors. Publ. Res. Inst. Math. Sci. 31 (1995), no. 4, pp. 609–624

DOI 10.2977/PRIMS/1195163917