Katsura–Exel–Pardo groupoids and the AH conjecture
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/2784127Utgivelsesdato
2021Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2533]
- Publikasjoner fra CRIStin - NTNU [38576]
Originalversjon
10.1112/jlms.12496Sammendrag
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.