Weak Centrality for Certain Tensor Products of $C^\ast$-algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909734296092672 |
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| author | Paliwal, Anmol Jain, Ranjana |
| author_facet | Paliwal, Anmol Jain, Ranjana |
| contents | In this article, we discuss the weak centrality of the tensor product $A\otimes_αB$ of $C^\ast$-algebras $A$ and $B$ in terms of the weak centrality of $A$ and $B$, where $α$ is either the Haagerup or the Banach space projective tensor product. In the due course, we also identify the largest weakly central ideal of $A\otimes_αB$ in certain cases. Centralilty and quasi-centrality of these tensor products are also discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak Centrality for Certain Tensor Products of $C^\ast$-algebras Paliwal, Anmol Jain, Ranjana Functional Analysis 46H10, 46J20, 46L06, 46M05 In this article, we discuss the weak centrality of the tensor product $A\otimes_αB$ of $C^\ast$-algebras $A$ and $B$ in terms of the weak centrality of $A$ and $B$, where $α$ is either the Haagerup or the Banach space projective tensor product. In the due course, we also identify the largest weakly central ideal of $A\otimes_αB$ in certain cases. Centralilty and quasi-centrality of these tensor products are also discussed. |
| title | Weak Centrality for Certain Tensor Products of $C^\ast$-algebras |
| topic | Functional Analysis 46H10, 46J20, 46L06, 46M05 |
| url | https://arxiv.org/abs/2508.08838 |