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On tensor products of operator modules

2004/12/07 by Bojan Magajna, Magajna, Bojan
Mathematics · #46H25 #46L07 #47L25 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46H25 #msc:46L07 #msc:47L25

paper · pdf · doi:10.48550/arxiv.math/0412137

16 pages, AMS LaTeX, to appear in J.O.T. This is the second, revised, part of the manuscript formerly entitled "Duality and normal parts..."

arxiv created 2004/12/07 · openalex publication_date 2004/12/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The injective tensor product of normal representable bimodules over von Neumann algebras is shown to be normal. The usual Banach module projective tensor product of central representable bimodules over an Abelian C^*-algebra is shown to be representable. A normal version of the projective tensor product is introduced for central normal bimodules.

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