  We recall the emergence of a generalized gauge theory from a noncommutative
Riemannian spin manifold, viz. a real spectral triple $(A,H,D;J)$. This
includes a gauge group determined by the unitaries in the $*$-algebra $A$ and
gauge fields arising from a so-called perturbation semigroup which is
associated to $A$. Our main new result is the interpretation of this
generalized gauge theory in terms of an upper semi-continuous $C^*$-bundle on a
(Hausdorff) base space $X$. The gauge group acts by vertical automorphisms on
this $C^*$-bundle and can (under some mild conditions) be identified with the
space of continuous sections of a group bundle on $X$. This then allows for a
geometrical description of the group of inner automorphisms of $A$.
  We exemplify our construction by Yang-Mills theory and toric noncommutative
manifolds and show that they actually give rise to continuous $C^*$-bundles.
Moreover, in these examples the corresponding inner automorphism groups can be
realized as spaces of sections of group bundles that we explicitly determine.
