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arXiv · 1309.0772

Strong asymptotic freeness for free orthogonal quantum groups

Michael Brannan
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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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Michael Brannan. 2013-09-03. Strong asymptotic freeness for free orthogonal quantum groups. https://doi.org/10.4153/cmb-2014-004-9

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