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Matui's AH conjecture for effective minimal ample groupoids
About 6 years old
Let $\mathcal{G}$ be an effective minimal second countable Hausdorff ample groupoid whose unit space $\mathcal{G}^{(0)}$ is a Cantor space. Write $H_0(\mathcal{G})$ and…
solvedgroupoids homology topological-full-groups
08
The higher-rank wreath-product non-embeddability conjecture
About 5 years old
Higher-rank wreath-product non-embeddability conjecture. If $d\geq 2$ , then
opensymbolic-dynamics topological-full-groups wreath-products
011
The AH conjecture for topological full groups of minimal étale groupoids
At least 10 years old
AH conjecture. There exists an exact sequence
openetale-groupoids groupoid-homology topological-full-groups
06

Matui's AH conjecture for effective minimal ample groupoids