Nuclear JC-algebras and tensor products of types (Q689014)
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scientific article; zbMATH DE number 438924
| Language | Label | Description | Also known as |
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| English | Nuclear JC-algebras and tensor products of types |
scientific article; zbMATH DE number 438924 |
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Nuclear JC-algebras and tensor products of types (English)
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13 February 1995
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Summary: This article is a continuation of [\textit{L. J. Bunce}, Math. Z. 180, 525- 534 (1982; Zbl 0518.46053)], to which the reader is referred for the definition and properties of the JC-tensor product of two JC-algebras. 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 antiliminal.
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Jordan algebra
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JC-tensor product
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JC-algebras
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nuclearity
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postliminal JC-algebras are nuclear
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antiliminal
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