Exchange relation planar algebras of small rank

DOI10.1090/tran/6582zbMath1365.46053arXiv1308.5656OpenAlexW3106382455WikidataQ56688922 ScholiaQ56688922MaRDI QIDQ2822702

Zhengwei Liu

Publication date: 4 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5656

zbMATH Keywords

exchange relation planar algebrasbiprojectionsubfactor planar algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Subfactors and their classification (46L37)

Related Items (25)

Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification ⋮ Non-commutative Rényi entropic uncertainty principles ⋮ On a composition of subfactors with group subfactors ⋮ Quantum Galois groups of subfactors ⋮ Quantum Fourier analysis ⋮ Ore's theorem on cyclic subfactor planar algebras and beyond ⋮ Anyonic chains, topological defects, and conformal field theory ⋮ Singly generated planar algebras of small dimension, Part III ⋮ Noncommutative uncertainty principles ⋮ Classification of pivotal tensor categories with fusion rules related to \(SO(4)\) ⋮ From skein theory to presentations for Thompson group ⋮ Reflection positivity and Levin-Wen models ⋮ Interpolated family of non-group-like simple integral fusion rings of Lie type ⋮ Fourier-theoretic inequalities for inclusions of simple \(C^*\)-algebras ⋮ Ore's theorem on subfactor planar algebras ⋮ Lifting shadings on symmetrically self-dual subfactor planar algebras ⋮ Quon language: surface algebras and Fourier duality ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ Motzkin algebras and the An tensor categories of bimodules ⋮ Planar para algebras, reflection positivity ⋮ Block maps and Fourier analysis ⋮ Jones-Wassermann subfactors for modular tensor categories ⋮ Euler totient of subfactor planar algebras ⋮ Universal skein theory for group actions ⋮ Classification of Thurston relation subfactor planar algebras

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