Subfactors of index exactly 5

Masaki Izumi; Scott Morrison; David Penneys; Emily Peters; Noah Snyder

doi:10.1112/blms/bdu113

Subfactors of index exactly 5

Masaki Izumi, Scott Morrison, David Penneys, Emily Peters, Noah Snyder

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.

Original language	English
Pages (from-to)	257-269
Number of pages	13
Journal	Bulletin of the London Mathematical Society
Volume	47
Issue number	2
DOIs	https://doi.org/10.1112/blms/bdu113
Publication status	Published - 1 Apr 2015

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abstract = "We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.",

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AU - Morrison, Scott

AU - Penneys, David

AU - Peters, Emily

AU - Snyder, Noah

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AB - We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.

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DO - 10.1112/blms/bdu113

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EP - 269

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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Subfactors of index exactly 5

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