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The coarse Baum--Connes conjecture and groupoids II

Published 3 May 2010 in math.OA and math.KT | (1005.0407v1)

Abstract: Given a (not necessarily discrete) proper metric space $M$ with bounded geometry, we define a groupoid $G(M)$. We show that the coarse Baum--Connes conjecture with coefficients, which states that the assembly map with coefficients for G(M) is an isomorphism, is hereditary by taking closed subspaces.

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