On the small boundary property and $\mathcal Z$-absorption
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914190366605312 |
|---|---|
| author | Elliott, George A. Niu, Zhuang |
| author_facet | Elliott, George A. Niu, Zhuang |
| contents | We introduce the Property (C) for a unital commutative sub-C*-algebra $D$ of a unital C*-algebra $A$, a version of the relative comparison property using almost normalizers. Under the assumption of this property, the $\mathcal Z$-absorption of $A$ is shown to imply the small boundary property of $(D, \mathrm{T}(A)|_D)$, where $A =\mathrm{C}(X) \rtimes \mathbb Z^d $ and $D = \mathrm{C}(X)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the small boundary property and $\mathcal Z$-absorption Elliott, George A. Niu, Zhuang Operator Algebras Dynamical Systems We introduce the Property (C) for a unital commutative sub-C*-algebra $D$ of a unital C*-algebra $A$, a version of the relative comparison property using almost normalizers. Under the assumption of this property, the $\mathcal Z$-absorption of $A$ is shown to imply the small boundary property of $(D, \mathrm{T}(A)|_D)$, where $A =\mathrm{C}(X) \rtimes \mathbb Z^d $ and $D = \mathrm{C}(X)$. |
| title | On the small boundary property and $\mathcal Z$-absorption |
| topic | Operator Algebras Dynamical Systems |
| url | https://arxiv.org/abs/2504.03611 |