Exhaustive Families of Representations of C*-algebras and Groupoid C*-algebras

Yu Qiao   (Shaanxi Normal University)

10:00-11:00, September 15, 2020   Zoom 467 658 1686


We review the construction of groupoid C*-algebras and basic representation theory of C*-algebras. Then we introduce the notion of exhaustive families of representations of C*-algebras defined by Nistor and Prudhon in 2017. Finally, we discuss its appli- cations to amenability of groupoids (topologically amenable groupoids VS metrically amenable groupoids), and coarse geometry. It is joint work with Clement Dell'Aiera.

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