标题：Nuclear <mml:math alttext="$\rm JC$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>JC</mml:mtext></mml:math>-algebras and tensor products of types
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1993
卷号：16
DOI：10.1155/S0161171293000894
出版社：Hindawi Publishing Corporation
摘要：This article is a continuation of [1], to which the reader is referred for the
definition and properties of the JC-tensor product of two JC-algebras. Our standard references
for nuclear and postliminal C*-algebras are [2,3,4,5,6,7]. We extend the notion of nuclearity
to JC-algebras and prove that postliminal JC-algebras are nuclear. In contrast with the situation
which occurs for C*-algebras, the JC-tensor product of two postliminal JC-algebras turns out, in
general, to be non-postliminal and can even be anitliminal.
