Katsura--Exel--Pardo Groupoids and the AH~Conjecture
Operator Algebras
2021-09-17 v1 Group Theory
K-Theory and Homology
Abstract
It is proven that Matui's AH~conjecture is true for Katsura--Exel--Pardo groupoids associated to integral matrices and . This conjecture relates the topological full group of an ample groupoid with the homology groups of the groupoid. We also give a criterion under which the topological full group is finitely generated.
Keywords
Cite
@article{arxiv.2007.06638,
title = {Katsura--Exel--Pardo Groupoids and the AH~Conjecture},
author = {Petter Nyland and Eduard Ortega},
journal= {arXiv preprint arXiv:2007.06638},
year = {2021}
}