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Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\) - MaRDI portal

Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\) (Q1297684)

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Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
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    Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\) (English)
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    24 July 2003
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    The authors prove the existence of subfactors of finite depth of the hyperfinite \(\text{II}_1\) factor with indices \((5+\sqrt{13})/2\) and \((5+ \sqrt {17})/2\). These are the only known subfactors with finite depth which do not arise from classical groups, quantum groups or rational conformal field theory.
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    subfactor
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    hyperfinite
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    \(\text{II}_1\) factor
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    Jones index
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