The homology of the Katsura–Exel–Pardo groupoid

  • Eduard Ortega

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

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. 913–935

DOI 10.4171/JNCG/382