Symmetric flat connections, triviality of Loi's invariant and orbifold subfactors
type: Item
instance of: scholarly article
title: Symmetric flat connections, triviality of Loi's invariant and orbifold subfactors
zbMATH Open document ID: 0848.46040
author: Satoshi Goto
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-10-24T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 46L87
zbMATH DE Number: 878492
zbMATH Keywords: symmetric connections on subfactors
zbMATH Keywords: Loi's invariant
zbMATH Keywords: non-strongly outer automorphism
zbMATH Keywords: orbifold subfactors
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195163917
OpenAlex ID: W2051655642
DOI: 10.2977/PRIMS/1195163917
description: scientific article; zbMATH DE number 878492