Categorical $W^{\ast }$-tensor product
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- by John Dauns PDF
- Trans. Amer. Math. Soc. 166 (1972), 439-456 Request permission
Abstract:
If A and B are von Neumann algebras and $A\bar \otimes B$ denotes their categorical ${C^ \ast }$-tensor product with the universal property, then the von Neumann tensor product $A\nabla B$ of A and B is defined as \[ A\nabla B = {(A\bar \otimes B)^{ \ast \ast }}/J,\] where $J \subset {(A\bar \otimes B)^{\ast \ast }}$ is an appropriate ideal. It has the universal property.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 166 (1972), 439-456
- MSC: Primary 46L10; Secondary 46M05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0295093-6
- MathSciNet review: 0295093