Braided quantum SU(2) groups (Q510254)

Summary: We construct a family of \(q\)-deformations of \(\mathrm{SU}(2)\) for complex parameters \(q \neq 1\). For real \(q\), the deformation coincides with the compact quantum \(\mathrm{SU}_q(2)\) group. For \(q \notin \mathbb R\), \(\mathrm{U}_q(2)\) is only a braided compact quantum group with respect to a twisted tensor product functor for C*-algebras with an action of the circle group.