Abstract:The category of C * -algebras is blessed with many different tensor products. In contrast, virtually the only tensor product ever used in the category of von Neumann algebras is the normal spatial tensor product. We propose a definition of what a generic tensor product in this category should be. We call these weak* tensor products.For von Neumann algebras M and N , there are, in general, many choices of weak* tensor completions of the algebraic tensor product M ⊙ N . In fact, we demonstrate that M has the pro… Show more
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