The homology of the Katsura-Exel-Pardo groupoid
Journal article, Peer reviewed
Accepted version
Permanent lenke
http://hdl.handle.net/11250/2638339Utgivelsesdato
2020Metadata
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- Institutt for matematiske fag [2533]
- Publikasjoner fra CRIStin - NTNU [38576]
Sammendrag
We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the K-theory of the C ∗ -algebras in the sense of the (HK) conjecture posted by Matui. Moreover, we show that several classifiable simple C ∗ -algebras are groupoid C ∗ -algebras of this class.