The coarse geometric Novikov conjecture and uniform convexity

2005/07/28 by Gennadi Kasparov, Guoliang Yu, Kasparov, Gennadi +1 · 1 citation
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #Operator Algebras (math.OA) #math.MG #math.OA

paper · pdf · doi:10.48550/arxiv.math/0507599

64 pages, to appear in Advances in Mathematics

arxiv created 2005/07/28 · arxiv updated 2009/12/01

Abstract

The coarse geometric Novikov conjecture provides an algorithm to determine when the higher index of an elliptic operator on a noncompact space is nonzero. The purpose of this paper is to prove the coarse geometric Novikov conjecture for spaces which admit a (coarse) uniform embedding into a uniformly convex Banach space.

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