Metrics with Positive Scalar Curvature at Infinity and Localization Algebra  

作　　者：Xiaofei ZHANG Yanlin LIU Hongzhi LIU 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [2]School of Mathematics,Shanghai University of Finance and Economics,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2021年第2期173-198,共26页数学年刊（B辑英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Nos.11811530291,11831006,11771092)。

摘　　要：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.

关 键 词：Positive scalar curvature at infinity K-theory of C^(*)-algebras Higher index theory 

分 类 号：O186.11[理学—数学]