| Résume | Résumé : There are many different constructions which one can use to build C*-algebras from some kind of initial data. To name a few examples, one can construct C*-algebras from discrete groups, directed graphs, group actions by homeomorphisms and many other kinds of dynamical systems. The C*-algebras constructed from such data might not be simple, in which case it is interesting to understand the ideal structure of the C*-algebra. There is a general framework for constructing C*-algebras using étale groupoids which generalises all the aforementioned constructions. In this talk I will report on a joint project with Sergey Neshveyev where we describe the ideal structure for a large class of étale groupoid C*-algebras. The talk will contain examples which illustrate that even for the well-studied cases like crossed product C*-algebras and higher rank graph C*-algebras, our results allows for the complete description of the ideal structure for new classes of C*-algebras. |
