On $\ell$-open $C^*$ algebras and $\ell$-closed $C^*$-algebras
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911767213375488 |
|---|---|
| author | Oyetunbi, Dolapo Tikuisis, Aaron |
| author_facet | Oyetunbi, Dolapo Tikuisis, Aaron |
| contents | In this paper, we characterize $\ell$-open and $\ell$-closed $C^*$-algebras and deduce that $\ell$-open $C^*$-algebras are $\ell$-closed, as conjectured by Blackadar. Moreover, we show that a commutative unital $C^*$-algebra is $\ell$-open if and only if it is semiprojective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15155 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On $\ell$-open $C^*$ algebras and $\ell$-closed $C^*$-algebras Oyetunbi, Dolapo Tikuisis, Aaron Operator Algebras 46L05(Primary), 46L85(Secondary) In this paper, we characterize $\ell$-open and $\ell$-closed $C^*$-algebras and deduce that $\ell$-open $C^*$-algebras are $\ell$-closed, as conjectured by Blackadar. Moreover, we show that a commutative unital $C^*$-algebra is $\ell$-open if and only if it is semiprojective. |
| title | On $\ell$-open $C^*$ algebras and $\ell$-closed $C^*$-algebras |
| topic | Operator Algebras 46L05(Primary), 46L85(Secondary) |
| url | https://arxiv.org/abs/2310.15155 |