Exactness from Proper Actions
Brodzki, Jacek · Niblo, Graham A. · Wright, Nick
Original · EN
In this paper we show that if a discrete group G acts properly isometrically on a discrete space X for which the uniform Roe algebra Cᵤ*(X) is exact then G is an exact group. As a corollary, we note that if the action is cocompact then the following are equivalent: The space X has Yu's property A; C*ᵤ(X) is exact; Cᵤ*(X) is nuclear.
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