Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Copyright © 2009 F. B. H. Jamjoom. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
It is well known in the work of Kadison and Ringrose (1983) that if and are maximal abelian von Neumann subalgebras of von Neumann algebras and , respectively, then is a maximal abelian von Neumann subalgebra of . It is then natural to ask whether a similar result holds in the context of
-algebras and the -tensor product. Guided to some extent by the close
relationship between a -algebra M and its universal enveloping von Neumann algebra , we seek in this article to investigate the answer to this question.