A quadrilateral in the Asaeda-Haagerup category

Details A quadrilateral in the Asaeda-Haagerup category A quadrilateral in the Asaeda-Haagerup category

2010-06-13

arxiv.org/abs/1006.2524v3

Mathematics

Operator Algebras

26 pages

Scientific paper

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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