Abstract

We compute the spectral measure of the standard generators uij of the Wang algebra Ao(n). We show in particular that this measure has support (−2/ √ n + 2,2/ √ n + 2), and that it has no atoms. The computation is done by using various techniques, involving the general Wang algebra Ao(F), a representation of SU q 2 due to Woronowicz, and several calculations with orthogonal polynomials.

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