  This work is a continuation of the former paper in which principal bundles
are given by compact spin toric manifolds and compact connected semisimple Lie
groups. In this paper, ambient manifolds are assumed to be compact toric
manifolds and Lie groups are compact connected. The main result is that locally
smooth manifolds are the instanton moduli spaces of the noncommutative vector
bundles over noncommutative 4-manifolds associated with highest weights of the
compact Lie groups. Moreover their dimensions are described explicitly in terms
of given principal bundles and highest weights. As a corollary, it is shown
that a smooth 4-manifold is the instanton moduli space of the canonocal
noncommutative vector bundle over the noncommutative comples projective 2-space
associated with the highest weight 1 of the 1-torus.
