Strong asymptotic freeness for free orthogonal quantum groups

Published 3 Sep 2013 in math.OA | (1309.0772v1)

Abstract: We prove that the normalized standard generators of the free orthogonal quantum group $O_N^+$ converge strongly to a free semicircular system as $N \to \infty$. Analogous results are obtained for the free unitary quantum groups, and some applications are given.

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Authors (1)

Michael Brannan

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