Ideals in Haagerup tensor product of C^∗-ternary rings and TROs

DOI10.7153/oam-2023-17-48OpenAlexW4387716507MaRDI QIDQ6122893

Ajay Kumar, Arpit Kansal

Publication date: 4 March 2024

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2023-17-48

zbMATH Keywords

representationsHaagerup tensor productidealsinjective tensor product\(C^*\)-ternary ring

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Inductive and projective limits in functional analysis (46M40) Tensor products of (C^*)-algebras (46L06)

Cites Work

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• A characterization of ternary rings of operators
• Completely bounded module maps and the Haagerup tensor product
• Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case.
• Local properties of ternary rings of operators and their linking \(C^{*}\)-algebras
• Ideal submodules versus ternary ideals versus linking ideals
• Ternary operator categories
• Applications of ternary rings to \(C^*\)-algebras
• Irreducible Representations of Hilbert <i>C*</i>-Modules
• Geometry of the tensor product of C*-algebras
• Ideal Spaces of the Haagerup Tensor Product of C*-Algebras
• Non-closed sums of closed ideals in Banach algebras
• Corrigendum to: ``Ternary operator categories
• Haagerup tensor product of \(C^\ast\)-ternary rings

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