Nuclear JC-algebras and tensor products of types
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 po...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000894 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |