C*-algebras of relatively proper groupoid correspondences
von Celso Carvalho Antunes Junior
Datum der mündl. Prüfung:2023-12-06
Erschienen:2024-12-09
Betreuer:Prof. Dr. Ralf Meyer
Gutachter:Prof. Dr. Thomas Schick
Gutachter:Prof. Dr. Chenchang Zhu
Dateien
Name:Thesis.pdf
Size:1.05Mb
Format:PDF
Zusammenfassung
Englisch
The objective of the work is to study C*-algebras associated to relatively proper groupoid correspondences, in particular exploring two constructions and proving that they are isomorphic. We also explore some properties of the resulting C*-algebra, describing it in terms of the initial data. Many interesting examples of C*-algebras can be encoded by this data, like C*-algebras coming from topological graphs, self-similar groups and self-similar graphs.
Keywords: Groupoid correspondences; Groupoids; C*-algebras; Noncommutative geometry; Cuntz-Pimsner algebras