With each Fell bundle over a discrete group~$G$ we associate a partial action of $G$ on the spectrum of the unit fiber. We discuss the ideal structure of the corresponding full and reduced cross-sectional $C^*$-algebras in terms of the dynamics of this partial action.
"Ideals in cross sectional $C^*$-algebras of Fell bundles." Rocky Mountain J. Math. 47 (2) 351 - 381, 2017. https://doi.org/10.1216/RMJ-2017-47-2-351