Projective Tensor Products of C^*-algebras

2013/05/03 by Ajay Kumar, Kumar, Ajay, Vandana Rajpal +1
Mathematics · Physics and Astronomy · #47L25 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Primary 46L06 #Secondary 46L07

paper · pdf · doi:10.48550/arxiv.1305.0791

openalex publication_date 2013/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For C^*-algebras A and B, we study the bi-continuity of the canonical embedding of A^**\ot_γ B^** (A^**\ot B^**) into (A \ot_γ B)^** (resp. (A \ot B)^**), and its isomorphism. Ideal structure of A\ot B has been obtained in case A or B has only finitely many closed ideals.

Citations

• Spectral synthesis for operator space projective tensor product of C^*-algebras

Related

• On Banach space projective tensor product of C^*-algebras
• Operator space projective tensor product: Embedding into second dual and\n ideal structure
• Ideals in Operator Space Projective Tensor Product of C^*-algebras
• Ideal structure of C^*-algebras associated with C^*-correspondences
• Automorphisms of Banach space projective tensor product of C*-algebras