Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras (Q1328258)
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scientific article; zbMATH DE number 599751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras |
scientific article; zbMATH DE number 599751 |
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Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras (English)
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12 June 1995
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The author proves that a unital purely infinite simple \(C^*\)-algebra has \(C^*\)-exponential rank at most \(1+ \varepsilon\), and therefore has the property weak (FU): Every element of the identity component of the unitary group is norm limit of unitaries with finite spectrum. He also proves the appropriate modification of this statement for nonunital algebras.
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property (FS)
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purely infinite simple \(C^*\)-algebra
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\(C^*\)- exponential rank
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property weak (FU)
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