  Suppose that $G$ has a representation group $H$, that $G_{ab}:=
G/\bar{[G,G]}$ is compactly generated, and that $A$ is a \cs-algebra for which
the complete regularization of $\Prim(A)$ is a locally compact Hausdorff space
$X$. In a previous article, we showed that there is a bijection $\alpha \mapsto
(Z_\alpha,f_\alpha)$ between the collection of exterior equivalence classes of
locally inner actions $\alpha:G\to\Aut(A)$, and the collection of principal
$\hgab$-bundles $Z_\alpha$ together with continuous functions $f_\alpha:X\to
H^2(G,\T)$. In this paper, we compute the crossed products $A\rtimes_\alpha G$
in terms of the data $Z_\alpha$, $f_\alpha$, and~$\cs(H)$.
