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A quadrilateral in the Asaeda–Haagerup category
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} . We also conjecture the existence of a Q-system in the same category with index \frac{9+ \sqrt{17}}{2} …