A new description of Kasparov's theory of \(C^*\)-algebra extensions (Q1262509)
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scientific article; zbMATH DE number 4124399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new description of Kasparov's theory of \(C^*\)-algebra extensions |
scientific article; zbMATH DE number 4124399 |
Statements
A new description of Kasparov's theory of \(C^*\)-algebra extensions (English)
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1989
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The Kasparov's Ext-theory for \(C^*\)-algebras is shown to be definable as a topological version of Yoneda's Ext-theory for modules. Moreover a description of the Ext-theory for \(C^*\)-algebras is given in terms of a universal \(C^*\)-algebra which is the crossed product by \({\mathbb{Z}}_ 2\) of Cuntz's \(C^*\)-algebra qA [see \textit{J. Cuntz}, K-theory 1, 31-51 (1987; Zbl 0636.55001)].
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Kasparov's Ext-theory for \(C^*\)-algebras
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topological version of Yoneda's Ext-theory for modules
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universal \(C^*\)-algebra
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crossed product
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Cuntz's \(C^*\)-algebra
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