Metrics with Positive Scalar Curvature at Infinity and Localization Algebra

Xiaofei Zhang , Yanlin Liu , Hongzhi Liu

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (2) : 173 -198.

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

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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.

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

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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

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