  We consider the Maxwell-Chern-Simons theory in noncommutative three
dimensional space-time. We show that the Seiberg-Witten map is ambiguous due to
the dimensional coupling constant. To get the dual theory we start from a
master action obtained by promoting the global shift invariance to a local one.
We also obtain the mapping between the observables of the two equivalent
theories. We show that the equivalence between the Maxwell-Chern-Simons theory
and the self-dual model in commutative space-time does not survive in the
non-commutative setting.
