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Weak centrality for certain tensor products of C * ‐algebras | Synapse

March 10, 2026

Weak centrality for certain tensor products of C * ‐algebras

Puntos clave

The study aims to investigate weak centrality in tensor products of C*-algebras, with a focus on different tensor product types.
Analyzed weak centrality in tensors of C*-algebras
Identified largest weakly central ideals under specific conditions
Discussed central and quasi-central properties of the tensor products.
Establishes conditions for weak centrality in Haagerup and Banach tensor products
Identifies the largest weakly central ideal for certain algebras
Clarifies the relationships between weak centrality, centrality, and quasi-centrality.

Resumen

Abstract In this article, we discuss the weak centrality of the tensor product of ‐algebras and in terms of the weak centrality of and , where is either the Haagerup or the Banach space projective tensor product. In the due course, we also identify the largest weakly central ideal of in certain cases. Centralilty and quasi‐centrality of these tensor products are also discussed.

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Cite This Study

Paliwal et al. (Sun,) studied this question.

synapsesocial.com/papers/69af94da70916d39fea4bd4c https://doi.org/https://doi.org/10.1002/mana.70119