  There are strong restrictions on the possible representations and in general
on the matter content of gauge theories formulated on noncommutative Moyal
spaces, termed as noncommutative gauge theory no-go theorem. According to the
no-go theorem \cite{no-go}, matter fields in the noncommutative U(1) gauge
theory can only have $\pm 1$ or zero charges and for a generic noncommutative
$\prod_{i=1}^n U(N_i)$ gauge theory matter fields can be charged under at most
two of the $U(N_i)$ gauge group factors. On the other hand, it has been argued
in the literature that, since a noncommutative U(N) gauge theory can be mapped
to an ordinary U(N) gauge theory via the Seiberg-Witten map, seemingly it can
bypass the no-go theorem. In this note we show that the Seiberg-Witten map
\cite{SW} can only be consistently defined and used for the gauge theories
which respect the no-go theorem. We discuss the implications of these arguments
for the particle physics model building on noncommutative space.
