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

2011/08/16 by Ranjana Jain, Ajay Kumar, Jain, Ranjana +1 · 3 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA

paper · pdf · doi:10.48550/arxiv.1108.3208

openalex publication_date 2011/08/16 · arxiv created 2011/10/16 · arxiv updated 2011/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the spectral synthesis for the Banach *-algebra A\oop B, the operator space projective tensor product of C^*-algebras A and B. It is shown that if A or B has finitely many closed ideals, then A\oop B obeys spectral synthesis. The Banach algebra A \oop A with the reverse involution is also studied.

Cited by

• Weak Centrality for Certain Tensor Products of C^∗-algebras
• ^*-Regularity of Operator Space Projective Tensor Product of C^*-Algebras
• Projective Tensor Products of C^*-algebras

Related

• Spectral synthesis for Banach Algebras II
• On Banach space projective tensor product of C^*-algebras
• ^*-Regularity of Operator Space Projective Tensor Product of C^*-Algebras
• Ideals in Operator Space Projective Tensor Product of C^*-algebras
• Projective Tensor Products of C^*-algebras