We show that Cantor minimal Z⋊Z2-systems and essentially free amenable odometers are almost finite. We also compute the homology groups of Cantor minimal Z⋊Z2-systems and show that the associated transformation groupoids satisfy the HK conjecture if and only if the action is free.
Classification :
37-XX, 19-XX
Mots-clés :
almost finiteness, groupoid homology
Affiliations des auteurs :
Eduard Ortega
1
;
Eduardo Scarparo
2
1
The Norwegian University of Science and Technology, Trondheim, Norway
2
Federal University of Pelotas, Brazil
Eduard Ortega; Eduardo Scarparo. Almost finiteness and homology of certain non-free actions. Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 77-90. doi: 10.4171/ggd/656
@article{10_4171_ggd_656,
author = {Eduard Ortega and Eduardo Scarparo},
title = {Almost finiteness and homology of certain non-free actions},
journal = {Groups, geometry, and dynamics},
pages = {77--90},
year = {2023},
volume = {17},
number = {1},
doi = {10.4171/ggd/656},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/656/}
}
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AU - Eduard Ortega
AU - Eduardo Scarparo
TI - Almost finiteness and homology of certain non-free actions
JO - Groups, geometry, and dynamics
PY - 2023
SP - 77
EP - 90
VL - 17
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UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/656/
DO - 10.4171/ggd/656
ID - 10_4171_ggd_656
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%J Groups, geometry, and dynamics
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%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/656/
%R 10.4171/ggd/656
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