  Examples of Fell algebras with compact spectrum and trivial Dixmier-Douady
invariant are constructed to illustrate differences with the case of continuous
trace $C^*$-algebras. At the level of the spectrum, this translates to only
assuming the spectrum is locally Hausdorff (rather than Hausdorff). The
existence of (full) projections is the fundamental question considered. The
class of Fell algebras studied here arise naturally in the study of Wieler
solenoids and applications to dynamical systems will be discussed in a separate
paper.
