An obstruction to subfactor principal graphs from the graph planar algebra embedding

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Authors

Morrison, Scott

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American Mathematical Society

Abstract

We find a new obstruction to the principal graphs of subfactors. It shows that in a certain family of 3-supertransitive principal graphs, there must be a cycle by depth 6, with one exception, the principal graph of the Haagerup subfactor.

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Citation

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Bulletin of the American Mathematical Society 46.2 (2014): 1-9

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