Differential groupoids and C^*-algebras

1999/05/17 by Piotr Stachura, Stachura, Piotr · 2 citations
Mathematics · #22A22 (Primary) 46L89 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.DG #math.OA #math.QA #msc:22A22 #msc:46L89

paper · pdf · doi:10.48550/arxiv.math/9905097

41 pages, LaTex2e, 11 figures, use graphicx, psfrag, placeins, amssymbo, "supported by..." statement added, "fatal error" in Aknewledgment corrected, no other changes made

openalex publication_date 1999/05/17 · arxiv created 1999/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The construction of a C*-algebra of a differential groupoid is presented. It is shown that it defines a covariant functor from the category of differential groupoids in a sense of S. Zakrzewski to the category of C*-algebras.

Cited by

• Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids
• Morphisms of locally compact groupoids endowed with Haar systems

Related

• Realizing Semigroup C*-Algebras As Groupoid C*-Algebras
• C*-algebras of groupoid morphisms
• Groupoid Models of C^*-algebras and Gelfand Duality
• Functoriality for groupoid and Fell bundle C^*-algebras
• Differential operators on C*-algebras and applications to smooth functional calculus and Schwartz functions on the tangent groupoid