Almost finiteness and homology of certain non-free actions
Peer reviewed, Journal article
Published version
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Date
2023Metadata
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- Institutt for matematiske fag [2474]
- Publikasjoner fra CRIStin - NTNU [38289]
Original version
10.4171/GGD/656Abstract
We show that Cantor minimal Z⋊Z2\mathbb{Z}\rtimes\mathbb{Z}_2Z⋊Z2-systems and essentially free amenable odometers are almost finite. We also compute the homology groups of Cantor minimal Z⋊Z2\mathbb{Z}\rtimes\mathbb{Z}_2Z⋊Z2-systems and show that the associated transformation groupoids satisfy the HK conjecture if and only if the action is free.