On tensor products of operator modules

Details On tensor products of operator modules On tensor products of operator modules

2004-12-07

arxiv.org/abs/math/0412137v1

Mathematics

Operator Algebras

16 pages, AMS LaTeX, to appear in J.O.T. This is the second, revised, part of the manuscript formerly entitled "Duality and no

Scientific paper

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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