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arXiv · 2011.02554

The homology of the groupoid of the self-similar dihedral group

Eduard Ortega·Alvaro Sanchez
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Abstract

We give an example of a locally compact effective Hausdorff, minimal ample groupoid such that its rational homology differs from the $K$-theory of its reduced groupoid $C^*$-algebra. Moreover, we prove that such example satisfies Matui's AH-conjecture.

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Eduard Ortega, Alvaro Sanchez. 2020-11-04. The homology of the groupoid of the self-similar dihedral group. https://arxiv.org/abs/2011.02554

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