Homology of the Katsura-Exel-Pardo groupoid

Eduard Ortega

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arXiv · 1806.09297

Homology of the Katsura-Exel-Pardo groupoid

Eduard Ortega

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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.

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Eduard Ortega. 2018-06-25. Homology of the Katsura-Exel-Pardo groupoid. https://arxiv.org/abs/1806.09297

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