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Elke Enning

Astrid an Huef (Wellington): Nuclear dimension of C*-algebras of groupoids, with applications to C*-algebras of directed graphs. Oberseminar C*-Algebren.

Tuesday, 20.05.2025 16:15 im Raum SRZ 216/217

Mathematik und Informatik

Guentner, Willet and Yu defined a notion of dynamic asymptotic dimension for an etale groupoid that can be used to bound the nuclear dimension of its groupoid C*-algebra. To have finite dynamic asymptotic dimension, the isotropy subgroups of the groupoid must be locally finite. I will discuss 1) how to use similar ideas to bound the nuclear dimension of the C*-algebra of a groupoid with `large' isotropy subgroups and 2) the limitations of that approach. In an application to the C*-algebra of a directed graph, if the C*-algebra is stably finite, then its nuclear dimension is at most 1. This is joint work with Dana Williams.



Angelegt am 07.05.2025 von Elke Enning
Geändert am 07.05.2025 von Elke Enning
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