Symmetry and quasi-centrality of operator space projective tensor\n product

2012/05/08 by Ajay Kumar, Kumar, Ajay, Vandana Rajpal +1
Computer Science · Mathematics · Physics and Astronomy · #47L25 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Primary 46L06 #Secondary 46L07

paper · pdf · doi:10.48550/arxiv.1205.1679

openalex publication_date 2012/05/08 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

For C^*-algebras A and B, the operator space projective tensor\nproduct A\\⊗B and the Banach space projective tensor product\nA\⊗_\γB are shown to be symmetric. We also show that\nA\\⊗B is weakly Wiener algebra. Finally, quasi-centrality, and the\nunitary group of A\\⊗B are discussed.\n

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