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Asymptotically exact spaces and coarse assembly

2012/06/13 by Ronghui Ji, Ji, Ronghui, Crichton Ogle +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.GT #math.OA

paper · pdf · doi:10.48550/arxiv.1206.2843

This paper has been withdrawn due to an error in Theorem 6.7

arxiv created 2012/07/25 · arxiv updated 2012/07/26

Abstract

Between the category of exact metric spaces with bounded geometry (about which much is known) and the larger category of arbitrary exact metric spaces (about which little is known) lies the intermediate category of asymptotically exact metric spaces. We show that the coarse Baum-Connes assembly map is naturally split surjective for this class, with generally non-zero kernel.

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