  The observability of the Hofstadter spectrum generated by a Wigner crystal
using photoluminescence techniques is studied. Itinerant hole geometries are
examined, in which a hole may combine directly with electrons in the lattice.
It is found that when the effect of lattice distortions of the WC due to
interactions with the hole are accounted for, only the largest Hofstadter gaps
are observable. To overcome the problems of lattice distortion, a novel
geometry is proposed, involving a two layer system with electrons in one layer
forming a WC and in the other a full Landau level. It is found that
recombination of electrons in the full Landau level with {\it localized} holes
reflects the full Hofstadter spectrum of the lattice.
