Magajna, Bojan On tensor products of operator modules. (English) Zbl 1119.46313 J. Oper. Theory 54, No. 2, 317-337 (2005). Summary: 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. MSC: 46L07 Operator spaces and completely bounded maps 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 47L25 Operator spaces (= matricially normed spaces) Keywords:operator bimodule; von Neumann algebra; tensor norms PDFBibTeX XMLCite \textit{B. Magajna}, J. Oper. Theory 54, No. 2, 317--337 (2005; Zbl 1119.46313) Full Text: arXiv