06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Jonathan Taylor (UP)
Since Renault's reconstruction of Cartan pairs as (twisted) groupoid C*-algebras, later generalisations of the theory have partially diverged. Staying in the realm of C*-algebras with a 'large' commutative subalgebra, there are (at least) two generalisations: weak Cartan pairs and essential Cartan pairs. Both of these definitions then admit reconstruction theorems utilising competing definitions of an "essential groupoid C*-algebra", and it is currently not known whether these two definitions differ.
In talk I will describe the similarities and differences between these two definitions of essential groupoid C*-algebras, and the approaches and techniques of which they make use.