2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172820We 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 $G=G^c$.9 pagesQuantum Algebratext