  For any (n-1)-dimensional simplicial complex, we construct a particular
n-dimensional complex vector bundle over the associated Davis-Januszkiewicz
space whose Chern classes are given by the elementary symmetric polynomials in
the generators of the Stanley Reisner algebra. We show that the isomorphism
type of this complex vector bundle as well as of its realification are
completely determined by its characteristic classes. This allows us to show
that coloring properties of the simplicial complex are reflected by splitting
properties of this bundle and vice versa. Similar question are also discussed
for 2n-dimensional real vector bundles with particular prescribed
characteristic Pontrjagin and Euler classes. We also analyze which of these
bundles admit a complex structure. It turns out that all these bundles are
closely related to the tangent bundles of quasitoric manifolds and moment angle
complexes.
