Abstract
The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu’s property A, the ideal structure of the Roe algebra of X with coefficients in \( \mathcal{B} \)(H) is completely characterized by the ideal families of weighted subspaces of X, where \( \mathcal{B} \)(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H.
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