Enriched Fell Bundles and Spaceoids

2011/12/27 by Paolo Bertozzini, Bertozzini, Paolo, Roberto Conti +3
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Operator Algebras (math.OA) #math.CT #math.OA

paper · pdf · doi:10.48550/arxiv.1112.5999

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

arxiv created 2011/12/27 · arxiv updated 2011/12/30

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.

Related

• Sections of Fell Bundles over Étale Groupoids
• Construction of Categorical Bundles from Local Data
• Spectral Theory for Non-full Commutative C*-categories
• On Strict Higher C*-categories
• The tangent bundle of a model category