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Nuclear JC -algebras and tensor products of types

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  • Fatmah B. Jamjoom

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.

Suggested Citation

  • Fatmah B. Jamjoom, 1993. "Nuclear JC -algebras and tensor products of types," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-7, January.
  • Handle: RePEc:hin:jijmms:321418
    DOI: 10.1155/S0161171293000894
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