Persistence approximation property for $L^p$ operator algebras
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915044804001792 |
|---|---|
| author | Wang, Hang Wang, Yanru Zhang, Jianguo Zhou, Dapeng |
| author_facet | Wang, Hang Wang, Yanru Zhang, Jianguo Zhou, Dapeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12262 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Persistence approximation property for $L^p$ operator algebras Wang, Hang Wang, Yanru Zhang, Jianguo Zhou, Dapeng Operator Algebras K-Theory and Homology 46L80, 58B34 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. |
| title | Persistence approximation property for $L^p$ operator algebras |
| topic | Operator Algebras K-Theory and Homology 46L80, 58B34 |
| url | https://arxiv.org/abs/2211.12262 |