  We present a noncommutative gauge theory that has the ordinary Standard Model
as its low-energy limit. The model is based on the gauge group U(4) x U(3) x
U(2) and is constructed to satisfy the key requirements imposed by
noncommutativity: the UV/IR mixing effects, restrictions on representations and
charges of matter fields, and the cancellation of noncommutative gauge
anomalies. At energies well below the noncommutative mass scale our model flows
to the commutative Standard Model plus additional free U(1) degrees of freedom
which are decoupled due to the UV/IR mixing. Our model also predicts the values
of the hypercharges of the Standard Model fields.
