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All classifiable Kirchberg algebras are $C^{\ast}$-algebras of ample groupoids (1904.07431v1)
Published 16 Apr 2019 in math.OA
Abstract: In this note we show that every Kirchberg algebra in the UCT class is the $C{\ast}$-algebra of a Hausdorff, ample, amenable and locally contracting groupoid. The non-unital case follows from Spielberg's graph-based models for Kirchberg algebras. Our contribution is the unital case and our proof builds on Spielberg's construction.
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