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

Date

2014

Authors

Morrison, Scott

Journal Title

Journal ISSN

Volume Title

Publisher

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.

Description

Keywords

Operator Algebras (math.OA), Quantum Algebra (math.QA)

Citation

Source

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

Type

Journal article

Book Title

Entity type

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