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elke

Antje Dabeler: Exotic group C*-algebras of higher rank Lie groups. Oberseminar C*-Algebren.

Tuesday, 24.05.2022 16:15 im Raum SRZ 216/217

An exotic group $C^*$-algebra of a non-amenable group $G$ is a $C^*$-completion of $C_c(G)$ that lies naturally in between the reduced and the universal group $C^*$-algebra of $G$. Using asymptotic properties of matrix coefficients of representations of $G$, one can construct potentially exotic group $C^*$-algebras. For simple Lie groups with real rank one, this construction was shown to define exotic group $C^*$-algebras, by Samei and Wiersma and by de Laat and Siebenand. I will explain how similar methods can be used to show the existence of exotic group $C^*$-algebras of higher rank simple Lie groups, e.g. $\mathrm{SL}(n,\mathbb{C})$ with $n\geq 3$.

Angelegt am Monday, 28.03.2022 10:19 von elke
Geändert am Friday, 06.05.2022 10:49 von elke
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