منابع مشابه
Subfactors of index exactly 5
We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.
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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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To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-analog of the Chern-Connes index. Unlike the standard Chern-Connes index, ours is based on the so-called categorical trace specific for a braided category in which the algebra in question is represented. AMS Mathematics...
متن کاملEquivariant noncommutative index on braided sphere
To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we associate ”noncommutative varieties” called braided spheres. An example of such a variety is the Podles’ nonstandard quantum sphere. On any braided sphere we introduce and compute an ”equivariant” analogue of Connes’ noncommutative index. In contrast with the Connes’ construction our version of equivariant NC index is based ...
متن کاملOn Hyperfinite Ii1 Subfactors of Finite Jones Index
We consider certain conditions for abstract lattices of commuting squares, that we prove are necessary and sufficient for them to arise as lattices of higher relative commutants of hyperfinite II1 inclusions of finite Jones index. In particular, we construct a one parameter family of inclusions of hyperfinite II1 factors N ⊂ M, with trivial relative commutant (Nλ)′∩Mλ = C with the Jones index [...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1992
ISSN: 0022-1236
DOI: 10.1016/0022-1236(92)90013-9