The Coarse Baum – Connes Conjecture for Spaces Which Admit a Uniform Embedding into Hilbert Space
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2 8 Ju l 2 00 5 The coarse geometric Novikov conjecture and uniform convexity
The classic Atiyah-Singer index theory of elliptic operators on compact manifolds has been vastly generalized to higher index theories of elliptic operators on noncompact spaces in the framework of noncommutative geometry [5] by Connes-Moscovici for covering spaces [8], Baum-Connes for spaces with proper and cocompact discrete group actions [2], Connes-Skandalis for foliated manifolds [9], and ...
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