The homology of the Katsura–Exel–Pardo groupoid
Eduard OrtegaThe Norwegian University of Science and Technology (NTNU), Trondheim, Norway
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