Weak Centrality: AF-algebras, C(X)-algebras, and group C*-algebras
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866909997838893056 |
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| author | Talwar, Bharat Vaidyanathan, Prahlad Wagner, Stefan |
| author_facet | Talwar, Bharat Vaidyanathan, Prahlad Wagner, Stefan |
| contents | We first prove that every AF-algebra is weakly central, thereby resolving a question left open by Archbold--Gogić. We then establish a new characterization of weak centrality for unital $C^*$-algebras in terms of $C(X)$-algebras. The paper concludes with an appendix that examines weak centrality in full group $C^*$-algebras and places these examples within the hierarchy of group classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15843 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak Centrality: AF-algebras, C(X)-algebras, and group C*-algebras Talwar, Bharat Vaidyanathan, Prahlad Wagner, Stefan Operator Algebras Functional Analysis 47L40, 46L05 We first prove that every AF-algebra is weakly central, thereby resolving a question left open by Archbold--Gogić. We then establish a new characterization of weak centrality for unital $C^*$-algebras in terms of $C(X)$-algebras. The paper concludes with an appendix that examines weak centrality in full group $C^*$-algebras and places these examples within the hierarchy of group classes. |
| title | Weak Centrality: AF-algebras, C(X)-algebras, and group C*-algebras |
| topic | Operator Algebras Functional Analysis 47L40, 46L05 |
| url | https://arxiv.org/abs/2601.15843 |