We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the -theory of the -algebras in the sense of the (HK) conjecture posted by Matui. Moreover, we show that several classifiable simple -algebras are groupoid -algebras of this class.
Cite this article
Eduard Ortega, The homology of the Katsura–Exel–Pardo groupoid. J. Noncommut. Geom. 14 (2020), no. 3, pp. 913–935DOI 10.4171/JNCG/382