Homology of the Katsura-Exel-Pardo groupoid

2018/06/25 by Ortega, Eduard · 2 citations
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1806.09297

Abstract

We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the K-theory of the C^*-algebras, and hence satisfying the (HK) conjecture posted by Matui. Moreover, we show that several classifiable simple C^*-algebras are groupoid C^*-algebras of this class.

Cited by

• Chern character for torsion-free ample groupoids
• A Low-Dimensional Counterexample to the HK-Conjecture

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