Existence of the $AH+2$ subfactor

Pinhas Grossman

Existence of the $AH+2$ subfactor

Operator Algebras 2015-12-09 v1

Authors: Pinhas Grossman

Abstract

We give two different proofs of the existence of the $AH+2$ subfactor, which is a $3$ -supertransitive self-dual subfactor with index $\frac{9+\sqrt{17}}{2}$ . The first proof is a direct construction using connections on graphs and intertwiner calculus for bimodule categories. The second proof is indirect, and deduces the existence of $AH+2$ from a recent alternative construction of the Asaeda-Haagerup subfactor and fusion combinatorics of the Brauer-Picard groupoid.

Cite

@article{arxiv.1512.02493,
  title  = {Existence of the $AH+2$ subfactor},
  author = {Pinhas Grossman},
  journal= {arXiv preprint arXiv:1512.02493},
  year   = {2015}
}

Comments

An earlier version of this paper appeared as an online appendix to arXiv:1202.4396

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