  We apply Majid's transmutation procedure to Hopf algebra maps $H \to \mathbb
C[T]$, where $T$ is a compact abelian group, and explain how this construction
gives rise to braided Hopf algebras over quotients of $T$ by subgroups that are
cocentral in $H$. This allows us to unify and generalize a number of recent
constructions of braided compact quantum groups, starting from the braided
$SU_q(2)$ quantum group, and describe their bosonizations.
