Uniform Borel amenability equals randomized Borel hyperfiniteness, producing three strengthenings of the Connes-Feldman-Weiss theorem plus uniform almost-finiteness and packing results outside null sets.
Osajda , Residually finite non-exact groups
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Uniform Borel Amenability
Uniform Borel amenability equals randomized Borel hyperfiniteness, producing three strengthenings of the Connes-Feldman-Weiss theorem plus uniform almost-finiteness and packing results outside null sets.