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The coarse geometric Novikov conjecture and uniform convexity

Research paper by Gennadi Kasparov, Guoliang Yu

Indexed on: 28 Jul '05Published on: 28 Jul '05Published in: Mathematics - Operator Algebras



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.