Proceedings of the Centre for Mathematics and its Applications

Existence of the $AH + 2$ subfactor

Pinhas Grossman

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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.

Article information

Source
Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday. Scott Morrison and David Pennys, eds. Proceedings of the Centre for Mathematics and its Applications, v. 46. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2017), 143-168

Dates
First available in Project Euclid: 21 February 2017

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1487646026

Mathematical Reviews number (MathSciNet)
MR3635670

Zentralblatt MATH identifier
06990153

Citation

Grossman, Pinhas. Existence of the $AH + 2$ subfactor. Proceedings of the 2014 Maui and 2015 Qinhuangdao Conferences in Honour of Vaughan F.R. Jones’ 60th Birthday, 143--168, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2017. https://projecteuclid.org/euclid.pcma/1487646026


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