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Persistence approximation property for $L^p$ operator algebras
- Publication Year :
- 2022
-
Abstract
- In this paper, we study the persistence approximation property for quantitative $K$-theory of filtered $L^p$ operator algebras. Moreover, we define quantitative assembly maps for $L^p$ operator algebras when $p\in [1,\infty)$. Finally, in the case of $L^{p}$ crossed products and $L^{p}$ Roe algebras, we find sufficient conditions for the persistence approximation property. This allows us to give some applications involving the $L^{p}$ (coarse) Baum-Connes conjecture.<br />Comment: 33 pages, to appear in Chinese Ann. Math. Ser. B
- Subjects :
- Mathematics - Operator Algebras
Mathematics - K-Theory and Homology
46L80, 58B34
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2211.12262
- Document Type :
- Working Paper