Enriched Fell Bundles and Spaceoids
  We propose a definition of involutive categorical bundle (Fell bundle) enriched in an involutive monoidal category and we argue that such a structure is a possible suitable environment for the formalization of different equivalent versions of spectral data for commutative C*-categories. 
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
math.OA math.CT