Persistence Approximation Property for Lp Operator Algebras

Hang WANG ¹Yanru WANG ¹Jianguo ZHANG ²Dapeng ZHOU³

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作者信息

1. Research Center for Operator Algebras,School of Mathematical Sciences,East China Normal University,Shanghai 200062,China
2. School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China
3. School of Statistics and Information,Shanghai University of International Business and Economics,Shanghai 201620,China
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Abstract

In this paper,the authors study the persistence approximation property for quantitative K-theory of filtered Lp operator algebras.Moreover,they define quantita-tive assembly maps for Lp operator algebras when p ∈[1,∞).Finally,in the case of Lp crossed products and Lp Roe algebras,sufficient conditions for the persistence approxima-tion property are found.This allows to give some applications involving the Lp(coarse)Baum-Connes conjecture.

Key words

Lp operator algebra/Quantitative assembly map/Persistence approxi-mation property/Lp Baum-Connes conjecture

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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

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