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Hecke algebras of type \(A_ n\) and subfactors. (English) Zbl 0663.46055
The author studies how subfactors of the hyperfinite \(II_ 1\) factor can be constructed using AF-algebras. He studies the invariants of the constructed subfactors, in particular its index in the sense of V. F. R. Jones [Invent. Math. 72, 1-25 (1983; Zbl 0508.46040)], and gives an upper bound for the size of its centralizer. These results are then applied to the series of complex Hecke algebras \(H_ n(q)\) of type \(A_{n-1}\) equipped with a suitable trace.
Reviewer: G.Loupias

MSC:
46L35 Classifications of \(C^*\)-algebras
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