The AH conjecture for Cantor minimal dihedral systems
Group Theory
2023-03-28 v2 Dynamical Systems
Abstract
The AH conjecture relates the low-dimensional homology groups of a groupoid with the abelianization of its topological full group. We show that transformation groupoids of minimal actions of the infinite dihedral group on the Cantor set satisfy this conjecture. The proof uses Kakutani-Rokhlin partitions adapted to such systems.
Cite
@article{arxiv.2206.11179,
title = {The AH conjecture for Cantor minimal dihedral systems},
author = {Eduardo Scarparo},
journal= {arXiv preprint arXiv:2206.11179},
year = {2023}
}
Comments
12 pages. Improved exposition. Accepted in Mathematica Scandinavica