JournalsggdVol. 17, No. 1pp. 77–90

Almost finiteness and homology of certain non-free actions

  • Eduard Ortega

    The Norwegian University of Science and Technology, Trondheim, Norway

  • Eduardo Scarparo

    Federal University of Pelotas, Brazil
Almost finiteness and homology of certain non-free actions cover
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Abstract

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

Cite this article

Eduard Ortega, Eduardo Scarparo, Almost finiteness and homology of certain non-free actions. Groups Geom. Dyn. 17 (2023), no. 1, pp. 77–90

DOI 10.4171/GGD/656