On The Tensor Products of Maximal Abelian JW-algebras

Journal Article

Jamjoom, F. B. H. . 2009

• نوع عمل المنشور: بحث علمي أصيل
• رابط المنشور على الويب: Article ID 621386
• المجلة \ الصحيفة: International Journal of Mathematics and Mathematical Sciences
• رقم العدد: 1
• رقم الإصدار السنوي: 2009
• الصفحات: from 1 to 7

مستخلص المنشور

It is well known (see[9, 11.2.18]) that if A and B are maximal abelian von Neumann subalgebras of von Neumann algebras M and N, respectively, then A⊗B is a maximal abelian von Neumann subalgebra of M⊗N. It is then natural to ask whether a similar result holds in the context of JW-algebras and the JW-tensor product.Guided to some extent by the close relationship between a JW-algebra M and its universal enveloping von Neumann algebra W*(M), we seek in this article to investigate the answer to this question.