Journal of Operator Theory

Volume 89, Issue 2, Spring 2023 pp. 349-360.

The weak containment problem for etale groupoids which are strongly amenable at infinity

Authors: Julian Kranz
Author institution: Westfaelische Wilhelms-Universitaet Muenster, Mathematisches Institut, Einsteinstr. 62, 48149 Munster, Germany

Summary: We show that an Hausdorff etale groupoid which is strongly amenable at infinity is amenable whenever its full and reduced $C^*$-algebras coincide.

DOI: http://dx.doi.org/10.7900/jot.2021aug20.2358
Keywords: groupoids, $C^*$-algebras, weak containment, amenability

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