Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495867 | Journal of Functional Analysis | 2005 | 39 Pages |
Abstract
The C0 coarse structure on a metric space is a refinement of the bounded structure and is closely related to the topology of the space. In this paper we will prove the C0 version of the coarse Baum-Connes conjecture and show that K*(C*X0) is a topological invariant for a broad class of metric spaces. Using this result we construct a 'geometric' obstruction group to the coarse Baum-Connes conjecture for the bounded coarse structure. We then show under the assumption of finite asymptotic dimension that the obstructions vanish, and hence we obtain a new proof of the coarse Baum-Connes conjecture in this context.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nick Wright,