Nuclear JC -algebras and tensor products of types

Fatmah B. Jamjoom

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-7

Abstract:

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:321418

DOI: 10.1155/S0161171293000894

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