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arXiv · 2508.08838

Weak Centrality for Certain Tensor Products of $C^\ast$-algebras

Anmol Paliwal·Ranjana Jain
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Abstract

In this article, we discuss the weak centrality of the tensor product $A\otimes_\alpha B$ of $C^\ast$-algebras $A$ and $B$ in terms of the weak centrality of $A$ and $B$, where $\alpha$ is either the Haagerup or the Banach space projective tensor product. In the due course, we also identify the largest weakly central ideal of $A\otimes_\alpha B$ in certain cases. Centralilty and quasi-centrality of these tensor products are also discussed.

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BibTeXRIS

Anmol Paliwal, Ranjana Jain. 2025-08-12. Weak Centrality for Certain Tensor Products of $C^\ast$-algebras. https://arxiv.org/abs/2508.08838

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