Proves topological amenability for étale groupoids with polynomial growth and weak m-comparison under compact generation and metrizable unit space, implying Matui's AH-conjecture when ample and minimal.
[Ma21] Xin Ma.Fiberwise amenability of ample ´ etale groupoids
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.
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Amenability and comparison for \'etale groupoids with polynomial growth
Proves topological amenability for étale groupoids with polynomial growth and weak m-comparison under compact generation and metrizable unit space, implying Matui's AH-conjecture when ample and minimal.
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Virtual inheritance properties of graph products
Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.