Katsura–Exel–Pardo groupoids and the AH conjecture
Peer reviewed, Journal article
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Date
2021Metadata
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- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38679]
Original version
10.1112/jlms.12496Abstract
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.