A quadrilateral in the Asaeda-Haagerup category

preprint2010arXivOpen access

We construct a noncommuting quadrilateral of factors whose upper sides are each the Asaeda-Haagerup subfactor with index $\frac{5+\sqrt{17}}{2}$ by showing the existence of a Q-system in the Asaeda-Haagerup category with index $\frac{7+\sqrt{17}}{2}$ .

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A quadrilateral in the Asaeda-Haagerup category

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