A quadrilateral in the Asaeda-Haagerup category

Published 13 Jun 2010 in math.OA and math.QA | (1006.2524v3)

Abstract: 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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