TY - JOUR
A2 - Xiao, Jie
AU - Jamjoom, F. B. H.
PY - 2009
DA - 2009/08/10
TI - On the Tensor Products of Maximal Abelian -Algebras
SP - 621386
VL - 2009
AB - It is well known in the work of Kadison and Ringrose (1983)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 closerelationship 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.
SN - 0161-1712
UR - https://doi.org/10.1155/2009/621386
DO - 10.1155/2009/621386
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi Publishing Corporation
KW -
ER -