Enriched Fell Bundles and Spaceoids

Abstract

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.

12 pages, AMS-LaTeX2e, to be published in "Proceedings of 2010 RIMS Thematic Year on Perspectives in Deformation Quantization and Noncommutative Geometry"