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| Persistence Approximation Property for Lp Operator Algebras |
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Citation： |
Hang WANG,Yanru WANG,Jianguo ZHANG,Dapeng ZHOU.Persistence Approximation Property for Lp Operator Algebras[J].Chinese Annals of Mathematics B,2024,45(6):869~904 |
| Page view： 801
Net amount： 288 |
Authors： |
Hang WANG; Yanru WANG;Jianguo ZHANG;Dapeng ZHOU |
Foundation： |
the National Natural Science Foundation of China (Nos. 12271165,
12171156, 12301154) and the Science and Technology Commission of Shanghai Municipality
(No. 22DZ2229014) |
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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 quantitative 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 approximation property are found. This allows to give some applications involving the Lp (coarse)
Baum-Connes conjecture. |
Keywords： |
Lp operator algebra, Quantitative assembly map, Persistence approximation property, Lp Baum-Connes conjecture |
Classification： |
46L80, 58B34 |
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