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The coarse geometric Novikov conjecture and uniform convexity

Gennadi Kasparov·Guoliang Yu
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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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Gennadi Kasparov, Guoliang Yu. 2005-07-28. The coarse geometric Novikov conjecture and uniform convexity. https://arxiv.org/abs/math/0507599

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