  We present results of numerical simulations for pure U(1) gauge theory in a
non-commutative space. The theory is mapped onto a dimensionally reduced matrix
model, which renders its numerical treatment feasible. New data on large
lattices reveal the scaling of Wilson loops and their correlation functions in
the simultaneous limit to the continuum and to infinite volume, at fixed
non-commutativity. In this on-going project we are particularly interested in
the IR behaviour, the ``photo-ball'' spectrum and in the photon dispersion
relation.
