The embedding theorem for finite depth subfactor planar algebras

DOI10.4171/QT/23zbMath1230.46055arXiv1007.3173OpenAlexW2963894970MaRDI QIDQ554516

Vaughan F. R. Jones, David Penneys

Publication date: 4 August 2011

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3173

zbMATH Keywords

subfactorsplanar algebrasMarkov inclusion

Mathematics Subject Classification ID

Related Items (25)

On Pimsner-Popa bases ⋮ The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ Free wreath product quantum groups and standard invariants of subfactors ⋮ Jones Representations of Thompson’s GroupFArising from Temperley–Lieb–Jones Algebras ⋮ Galois correspondence and Fourier analysis on local discrete subfactors ⋮ Quantum teleportation in the commuting operator framework ⋮ Realizations of algebra objects and discrete subfactors ⋮ Colored planar algebras for commuting squares and applications to Hadamard subfactors ⋮ Orthogonal unitary bases and a subfactor conjecture ⋮ Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules ⋮ 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 ⋮ Loop models, random matrices and planar algebras ⋮ 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 ⋮ The module embedding theorem via towers of algebras ⋮ Unitary dual functors for unitary multitensor categories ⋮ Exchange relation planar algebras of small rank ⋮ On fixed point planar algebras ⋮ Constructing spoke subfactors using the jellyfish algorithm ⋮ Composed inclusions of \(A_3\) and \(A_4\) subfactors ⋮ Planar Algebras in Braided Tensor Categories

Cites Work

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• Constructing the extended Haagerup planar algebra
• Quadratic tangles in planar algebras
• Skein theory for the \(D_{2n}\) planar algebras
• Index for pairs of finite von Neumann algebras
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• Classification of amenable subfactors of type II
• Subfactors, Planar Algebras and Rotations
• Index for 𝐶*-subalgebras
• Iterating the Basic Construction
• Entropy and index for subfactors
• ON JONES' PLANAR ALGEBRAS
• A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR
• A CYCLIC APPROACH TO THE ANNULAR TEMPERLEY–LIEB CATEGORY

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