On the Tensor Products of Maximal Abelian J W -Algebras

F. B. H. Jamjoom

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-7

Abstract:

It is well known in the work of Kadison and Ringrose (1983)that if ð ´ and ð µ are maximal abelian von Neumann subalgebras of von Neumann algebras ð ‘€ and ð ‘ , respectively, then ð ´ âŠ— ð µ is a maximal abelian von Neumann subalgebra of ð ‘€ ⊗ ð ‘ . It is then natural to ask whether a similar result holds in the context of ð ½ ð ‘Š -algebras and the ð ½ ð ‘Š -tensor product. Guided to some extent by the close relationship between a ð ½ ð ‘Š -algebra M and its universal enveloping von Neumann algebra ð ‘Š ∗ ( ð ‘€ ) , we seek in this article to investigate the answer to this question.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:621386

DOI: 10.1155/2009/621386

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