On Symmetry of $L^1$-Algebras Associated to Fell Bundles.

To every Fell bundle $\mathscr C$ over a locally compact group ${\sf G}$ one associates a Banach $^*$-algebra $L^1({\sf G}\,\vert\,\mathscr C)$. We prove that it is symmetric whenever ${\sf G}$ with the discrete topology is rigidly symmetric. A very general example is the Fell bundle associated to a twisted partial action of ${\sf G}$ on a $C^*$-algebra $\mathcal A$. This generalizes the known case of a global action without a twist.