Metrics with Positive Scalar Curvature at Infinity and Localization Algebra

Xiaofei Zhang; Yanlin Liu; Hongzhi Liu

doi:10.1007/s11401-021-0252-y

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (2) : 173 -198. DOI: 10.1007/s11401-021-0252-y

Article

Metrics with Positive Scalar Curvature at Infinity and Localization Algebra

Xiaofei Zhang ¹^,^a
, Yanlin Liu ¹^,^b
, Hongzhi Liu ²^,^c

Author information +

History +

PDF

Abstract

In this paper, the authors give a new proof of Block and Weinberger’s Bochner vanishing theorem built on direct computations in the K-theory of the localization algebra.

Keywords

Positive scalar curvature at infinity / K-theory of C*-algebras / Higher index theory

Cite this article

Download citation ▾

Xiaofei Zhang,Yanlin Liu,Hongzhi Liu. Metrics with Positive Scalar Curvature at Infinity and Localization Algebra. Chinese Annals of Mathematics, Series B, 2021, 42(2): 173-198 DOI:10.1007/s11401-021-0252-y