论文标题
katsura-exel-----pardo groupoids和ah〜猜想
Katsura--Exel--Pardo Groupoids and the AH~Conjecture
论文作者
论文摘要
事实证明，对于katsura而言，matui的ah〜猜想是正确的 - exel--pardo groupoids $ \ mathcal {g} _ {a，b} $与Integral矩阵$ a $ a $ a $ and $ b $相关的关联。该猜想将拓扑整体组的拓扑整个组与群体的同源组相关联。我们还提供了一个标准，根据该标准，拓扑完整组$ [[\ MATHCAL {g} _ {a，b}]] $是有限生成的。
It is proven that Matui's AH~conjecture is true for Katsura--Exel--Pardo groupoids $\mathcal{G}_{A,B}$ 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 $[[\mathcal{G}_{A,B}]]$ is finitely generated.
