English

Strong asymptotic freeness for free orthogonal quantum groups

Operator Algebras 2019-08-15 v1

Abstract

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

Keywords

Cite

@article{arxiv.1309.0772,
  title  = {Strong asymptotic freeness for free orthogonal quantum groups},
  author = {Michael Brannan},
  journal= {arXiv preprint arXiv:1309.0772},
  year   = {2019}
}