## 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

Zbl 0508.46040
Full Text:

### References:

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