  For a quasitriangular C*-quantum group, we enrich the twisted tensor product
constructed in the first part of this series to a monoidal structure on the
category of its continuous coactions on C*-algebras. We define braided
C*-quantum groups, where the comultiplication takes values in a twisted tensor
product. We show that compact braided C*-quantum groups yield compact quantum
groups by a semidirect product construction.
