AI RESEARCH

Universal Coefficients and Mayer-Vietoris for Moore Homology of Ample Groupoids

arXiv CS.LG

ArXi:2603.20861v1 Announce Type: cross We establish two structural results for Moore homology of ample groupoids. First, for every ample groupoid $\mathcal{G}$ and every discrete abelian coefficient group $A$, we prove a universal coefficient theorem relating the homology groups $H_n(\mathcal{G};A)$ to the integral Moore homology of $\mathcal{G