Braided quantum SU(2) groups
  We construct a family of q-deformations of SU(2) for complex parameters q not equal to 0. For real q, the deformation coincides with Woronowicz' compact quantum SU_q(2) group. For q not real, SU_q(2) is only a braided compact quantum group with respect to a certain tensor product functor for C*-algebras with an action of the circle group. 
Pawe{\l} Kasprzak, Ralf Meyer, Sutanu Roy, Stanis{\l}aw Lech   Woronowicz
math.OA