International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 717-723
Nuclear -algebras and tensor products of types
Department of Mathematics, King Saud University, Riyadh 11431, Saudi Arabia
Received 7 April 1992; Revised 12 June 1992
Copyright © 1993 Fatmah B. 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.
This article is a continuation of , to which the reader is referred for the
definition and properties of the -tensor product of two -algebras. Our standard references
for nuclear and postliminal -algebras are . We extend the notion of nuclearity
to -algebras and prove that postliminal -algebras are nuclear. In contrast with the situation
which occurs for -algebras, the -tensor product of two postliminal -algebras turns out, in
general, to be non-postliminal and can even be anitliminal.