  We present the results of a Monte Carlo study of the three-dimensional
anti-ferromagnetic 3-state Potts model. We compute various cumulants in the
neighbourhood of the critical coupling. The comparison of the results with a
recent high statistics study of the 3D XY model strongly supports the
hypothesis that both models belong to the same universality class. From our
numerical data for the anti-ferromagnetic 3-state Potts model we obtain for the
critical coupling $\coup_c=0.81563(3)$, and for the static critical exponents
$\gamma /\nu=1.973(9)$ and $\nu=0.664(4)$.
