On the Borel enveloping \(C^*\)-algebra of a \(C^*\)-algebra (Q1365587)
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scientific article; zbMATH DE number 1057436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Borel enveloping \(C^*\)-algebra of a \(C^*\)-algebra |
scientific article; zbMATH DE number 1057436 |
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On the Borel enveloping \(C^*\)-algebra of a \(C^*\)-algebra (English)
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1 April 1998
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L'auteur introduit et étudie la \(C^*\)-algèbre enveloppante borelienne d'une \(C^*\)-algèbre quelconque. On montre que le foncteur défini est exact et que la représentation atomique est fidèle. Si la \(C^*\)-algèbre initiale est commutative, la construction fournit la \(C^*\)-algèbre des fonctions complexes bornées boreliennes sur le spectre de l'algèbre donnée.
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Borel enveloping \(C^*\)-algebra
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atomic representation
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