Weak centrality for certain tensor products of C * ‐algebras

Key Points

• 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.