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arXiv · 0710.0201

A note on free quantum groups

Abstract

We study the free complexification operation for compact quantum groups, $G\to G^c$. We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying $G=G^c$.

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Teodor Banica. 2008-01-23. A note on free quantum groups. https://arxiv.org/abs/0710.0201

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