JournalsjncgVol. 14, No. 3pp. 913–935

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
Download PDF

A subscription is required to access this article.

Abstract

We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the KK-theory of the CC^*-algebras in the sense of the (HK) conjecture posted by Matui. Moreover, we show that several classifiable simple CC^*-algebras are groupoid CC^*-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