The coarse geometric Novikov conjecture and uniform convexity
Gennadi Kasparov, Guoliang Yu
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.
Create a lesson
Related papers
The generator problem for C*-algebras with comparison
Ben Bouwen, Jorge Castillejos, Jakub Curda
Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
Erik Bédos, Roberto Conti
A note on purely infinite extensions
Ping Wong Ng, Cangyuan Wang
Wiener's lemma for quasicrystals: hull-uniform decay of covariant kernels on Delone sets
Diego Jaure
Homotopies of constant Cuntz classes in pure C*-algebras
Chrisil Ouseph, Andrew S. Toms
Mean dimension and radius of comparison
George A. Elliott, Zhuang Niu