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arxiv: 0710.0201 · v2 · submitted 2007-10-01 · 🧮 math.QA

A note on free quantum groups

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keywords freegroupsquantumcompactcomplexificationcorrespondencedefinitionsinduces
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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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