Nowhere scattered multiplier algebras
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908493609435136 |
|---|---|
| author | Vilalta, Eduard |
| author_facet | Vilalta, Eduard |
| contents | We study sufficient conditions under which a nowhere scattered C*-algebra $A$ has a nowhere scattered multiplier algebra $\mathcal{M}(A)$, that is, we study when $\mathcal{M}(A)$ has no nonzero, elementary ideal-quotients. In particular, we prove that a $σ$-unital C*-algebra $A$ of finite nuclear dimension, or real rank zero, or stable rank one with $k$-comparison, is nowhere scattered if and only if $\mathcal{M}(A)$ is. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14007 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nowhere scattered multiplier algebras Vilalta, Eduard Operator Algebras 46L05 We study sufficient conditions under which a nowhere scattered C*-algebra $A$ has a nowhere scattered multiplier algebra $\mathcal{M}(A)$, that is, we study when $\mathcal{M}(A)$ has no nonzero, elementary ideal-quotients. In particular, we prove that a $σ$-unital C*-algebra $A$ of finite nuclear dimension, or real rank zero, or stable rank one with $k$-comparison, is nowhere scattered if and only if $\mathcal{M}(A)$ is. |
| title | Nowhere scattered multiplier algebras |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2304.14007 |