The paper defines asymptotic expanders, characterizes quasi-locality of averaging projections via them, and proves the uniform quasi-local algebra is nuclear iff the space has Property A.
Ideal structure and pure infinite ness of ample groupoid C∗ - algebras
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Quasi-local Algebras and Asymptotic Expanders
The paper defines asymptotic expanders, characterizes quasi-locality of averaging projections via them, and proves the uniform quasi-local algebra is nuclear iff the space has Property A.