C*-algebras of groupoid morphisms

2020/05/07 by Bruno Tadeu Costa, Costa, Bruno Tadeu, Renan Gambale Romano +2
Mathematics · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2005.03746

Abstract

In this paper we suggest a definition for a C*-algebra attached to an injective morphism of some Étale groupoid. We take into account all the peculiarities of such objects and present some interesting relations with already well-known C*-algebras from the literature.

Related

• Quotients of étale groupoids and the abelianizations of groupoid C*-algebras
• Graph morphisms as groupoid actors
• Functoriality for groupoid and Fell bundle C^*-algebras
• Realizing Semigroup C*-Algebras As Groupoid C*-Algebras
• *-homomorphisms between groupoid C*-algebras