  We investigate the running gauge couplings of U(N) noncommutative gauge
theories with compact extra dimensions. Power law running of the trace-U(1)
gauge coupling in the ultraviolet is communicated to the infrared by
ultraviolet/infrared mixing, whereas the SU(N) factors run exactly as in the
commutative theory. This results in theories where the experimentally excluded
trace-U(1) factors decouple with a power law running of the momentum in the
extreme infrared, effectively hiding them from detection.
