Subfactors and Planar Algebras
نویسنده
چکیده
An inclusion of II1 factors N ⊂ M with finite Jones index gives rise to a powerful set of invariants that can be approached successfully in a number of different ways. We describe Jones’ pictorial description of the standard invariant of a subfactor as a so-called planar algebra and show how this point of view leads to new structure results for subfactors. 2000 Mathematics Subject Classification: 46L37, 46L60, 82B20, 81T05.
منابع مشابه
Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU (3) modular invariants
Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of SU(3) conformal field theories through corresponding SU(3) braided subfactors and various subfactor invariants including spectral measures for the nimrep graphs, A2-planar algebras and almost Calabi-Yau algebras.
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