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Persistence Approximation Property for Lp Operator Algebras

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Persistence Approximation Property for Lp Operator Algebras
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.

Lp operator algebraQuantitative assembly mapPersistence approxi-mation propertyLp Baum-Connes conjecture

Hang WANG、Yanru WANG、Jianguo ZHANG、Dapeng ZHOU

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Research Center for Operator Algebras,School of Mathematical Sciences,East China Normal University,Shanghai 200062,China

School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China

School of Statistics and Information,Shanghai University of International Business and Economics,Shanghai 201620,China

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

2024

10.1007/s11401-024-0043-3

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
年,卷(期)：2024.45(6)