数学年刊B辑(英文版)2024,Vol.45Issue(6) :943-956.DOI:10.1007/s11401-024-0046-0

Open Cones and K-Theory for lp Roe Algebras

Jianguo ZHANG
数学年刊B辑(英文版)2024,Vol.45Issue(6) :943-956.DOI:10.1007/s11401-024-0046-0

Open Cones and K-Theory for lp Roe Algebras

Jianguo ZHANG1
扫码查看

作者信息

  • 1. School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China;Research Center for Operator Algebras,East China Normal University,Shanghai 200062,China
  • 折叠

Abstract

In this paper,the author verifies the lp coarse Baum-Connes conjecture for open cones and shows that the K-theory for lp Roe algebras of open cones is independent of p ∈[1,∞).Combined with the result of Fukaya and Oguni,he gives an application to the class of coarsely convex spaces that includes geodesic Gromov hyperbolic spaces,CAT(0)-spaces,certain Artin groups and Helly groups equipped with the word length metric.

Key words

K-Theory/lp Roe algebras/Open cones

引用本文复制引用

出版年

2024
数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
段落导航相关论文