A quadrilateral in the Asaeda-Haagerup category
classification
🧮 math.OA
math.QA
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asaeda-haagerupcategoryfracindexquadrilateralsqrtconstructexistence
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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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