SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS

DOI10.1142/S0129167X11007586zbMath1246.46054arXiv1007.2240OpenAlexW2018964917MaRDI QIDQ5389535

Scott Morrison, Noah Snyder, David Penneys, Emily Peters

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2240

zbMATH Keywords

indexsubfactorsplanar algebras

Mathematics Subject Classification ID

Related Items (20)

The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$ ⋮ Singly generated planar algebras of small dimension, Part III ⋮ Subfactors of index less than 5. I: The principal graph odometer ⋮ Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules ⋮ The center of the extended Haagerup subfactor has 22 simple objects ⋮ A planar calculus for infinite index subfactors ⋮ Principal graph stability and the jellyfish algorithm ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ The classification of subfactors of index at most 5 ⋮ Chirality and principal graph obstructions ⋮ Subfactors of index less than 5. III: Quadruple points ⋮ An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem ⋮ 1-supertransitive subfactors with index at most \(6\frac{1}{5}\) ⋮ Constructing the extended Haagerup planar algebra ⋮ Quadratic tangles in planar algebras ⋮ Exchange relation planar algebras of small rank ⋮ Subfactors of index exactly 5 ⋮ Constructing spoke subfactors using the jellyfish algorithm ⋮ Composed inclusions of \(A_3\) and \(A_4\) subfactors

Cites Work

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• Cyclotomic integers, fusion categories, and subfactors
• On Haagerup's list of potential principal graphs of subfactors
• Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
• Principal graphs of subfactors with small Jones index
• Index for subfactors
• Classification of amenable subfactors of type II
• An axiomatization of the lattice of higher relative commutants of a subfactor
• Markov traces on universal Jones algebras and subfactors of finite index
• A Survey on Spectra of infinite Graphs
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR

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