Exhaustive families of representations of C*-algebras and groupoid C*-algebras
Yu Qiao ÇÇÓę ( Shaanxi Normal University)
10:00-11:00, Jan 12. 2021 Tecent Meeting : 594 853 079
Abstract:
We review basic representation theory of C*-algebras and introduce the notion
of exhaustive families of representations of C*-algebras defined by V. Nistor and N. Prudhon
in 2017. Then we go over the construction of groupoid C*-algebras given by J. Renault.
Finally, we discuss applications of exhaustive families to amenability
of groupoids (topologically ameneable groupoids VS metrically amenable groupoids), and
coarse geometry. It is joint work in progress with Cl¨Śment DellĄŻAiera.
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