Intermediate subfactors with no extra structure

DOI10.1090/S0894-0347-06-00531-5zbMath1131.46041arXivmath/0412423OpenAlexW1525739446MaRDI QIDQ3420220

Vaughan F. R. Jones, Pinhas Grossman

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0412423

zbMATH Keywords

standard invariantCoxeter groupindexCoxeter-Dynkin diagramquadrilateralCoxeter graphplanar algebraintermediate subfactorsBratelli diagramangle operatorcommuting squarevon Neumann II\(_1\)-factors

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items (24)

On a composition of subfactors with group subfactors ⋮ Forked Temperley--Lieb algebras and intermediate subfactors ⋮ On examples of intermediate subfactors from conformal field theory ⋮ On Galois theory from subfactors ⋮ On intermediate subfactors of Goodman-de la Harpe-Jones subfactors ⋮ Quantum subgroups of the Haagerup fusion categories ⋮ Maximal von Neumann subalgebras in type I von Neumann algebras ⋮ Symmetries of subfactors motivated by Aschbacher-Guralnick conjecture ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ CLASSIFICATION OF NONCOMMUTING QUADRILATERALS OF FACTORS ⋮ On a problem about tensor products of subfactors ⋮ On a subfactor generalization of Wall's conjecture ⋮ An angle between intermediate subfactors and its rigidity ⋮ Categories generated by a trivalent vertex ⋮ On intervals in subgroup lattices of finite groups ⋮ Perturbations of intermediate C∗-subalgebras for simple C∗-algebras ⋮ A quadrilateral in the Asaeda-Haagerup category ⋮ Highly transitive imprimitivities. ⋮ Quadratic tangles in planar algebras ⋮ Representations of quantum permutation algebras ⋮ On representing some lattices as lattices of intermediate subfactors of finite index ⋮ On the origin and development of subfactors and quantum topology ⋮ On maximal subfactors from quantum groups ⋮ Lattice of intermediate subalgebras

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