Persistence Approximation Property for L^p Operator Algebras

期刊论文
发表日期：

2024年11月28日

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Hang Wang,
Yanru Wang,
Jianguo Zhang,
Dapeng Zhou

摘要

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

Persistence Approximation Property for Lp Operator Algebras

摘要

Persistence Approximation Property for L^p Operator Algebras