  We consider Yang-Mills theory in a general class of Abelian gauges.
Exploiting the residual Abelian symmetry on a quantum level, we derive a set of
Ward identities in functional form, valid to all orders in perturbation theory.
As a consequence, the coupling constant is only renormalised through the
Abelian two-point function. This implies that asymptotic freedom in all Abelian
gauges can be understood from an effective Abelian theory alone, which can be
interpreted as Abelian dominance in the high energy regime.
