Katsura–Exel–Pardo groupoids and the AH conjecture
Peer reviewed, Journal article
MetadataShow full item record
It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids 𝒢𝐴,𝐵 associated to integral matrices 𝐴 and 𝐵 . 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 [[𝒢𝐴,𝐵]] is finitely generated.