  We study the cosmological implications of the space-space noncommutative
inflation and present formulae for the spectral index and its running. Our
results show that deviations from the spectral index and its running depend on
the space-space noncommutativity length scale. We conclude that in the
slow-roll regime of a typical inflationary scenario, space-space
noncommutativity has negligible effects on both the spectral index and its
running. Two classes of examples have been studied and comparisons made with
the standard slow-roll formulae. The results show that the correction terms to
the commutative case are positive for the spectral index and negative for the
running of the spectral index. Nevertheless the spectral index in
noncommutative spaces is less than one owing to the very small values of the
correction terms.
