, Volume 286, Issue 3, pp 1141-1157
Date: 12 Aug 2008

On Haagerup’s List of Potential Principal Graphs of Subfactors

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Abstract

We show that any graph, in the sequence given by Haagerup in 1991 as that of candidates of principal graphs of subfactors, is not realized as a principal graph except for the smallest two. This settles the remaining case of a previous work of the first author.

Communicated by Y. Kawahigashi
The first author was sponsored in part by NSF grant #DMS-0504199.