The classification of real purely infinite simple C*-algebras (Q651260)
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scientific article; zbMATH DE number 5987888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of real purely infinite simple C*-algebras |
scientific article; zbMATH DE number 5987888 |
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The classification of real purely infinite simple C*-algebras (English)
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9 December 2011
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The authors consider the class of real \(C^*\)-algebras consisting of simple separable nuclear purely infinite \(C^*\)-algebras that satisfy the universal coefficient theorem and have simple complexifications. It is shown that \(C^*\)-algebras in this class are completely classified by the united \(K\)-theory. As an application, all real forms of the complex Cuntz algebras \(O_n\), \(2\leq n\leq\infty\), are found.
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real \(C^*\)-algebra
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classification
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\(K\)-theory
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Kirchberg algebra
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