  We show that if $p:\B\to G$ is a Fell bundle over a locally compact groupoid
$G$ and that $A=\Gamma_{0}(G^{(0)};\B)$ is the \cs-algebra sitting over
$G^{(0)}$, then there is a continuous $G$-action on $\Prim A$ that reduces to
the usual action when $\B$ comes from a dynamical system. As an application, we
show that if $I$ is a $G$-invariant ideal in $A$, then there is a short exact
sequence of \cs-algebras \xymatrix{0\ar[r]&\cs(G,\BI)\ar[r]
&\cs(G,\B)\ar[r]&\cs(G,\BqI)\ar[r]&0,} where $\cs(G,\B)$ is the Fell bundle
\cs-algebra and $\BI$ and $\BqI$ are naturally defined Fell bundles
corresponding to $I$ and $A/I$, respectively. Of course this exact sequence
reduces to the usual one for \cs-dynamical systems.
