Almost finiteness and homology of certain non-free actions

Eduard Ortega; Eduardo Scarparo

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arXiv · 2007.02329

Almost finiteness and homology of certain non-free actions

Eduard Ortega·Eduardo Scarparo

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Abstract

We show that Cantor minimal $\mathbb{Z}\rtimes\mathbb{Z}_2$-systems and essentially free amenable odometers are almost finite. We also compute the homology groups of Cantor minimal $\mathbb{Z}\rtimes\mathbb{Z}_2$-systems and show that the associated transformation groupoids satisfy the HK conjecture if and only if the action is free.

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Eduard Ortega, Eduardo Scarparo. 2021-03-22. Almost finiteness and homology of certain non-free actions. https://arxiv.org/abs/2007.02329

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