On the \(K\)-theory groups of certain crossed product \(C^*\)-algebras (Q1319027)
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scientific article; zbMATH DE number 549183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(K\)-theory groups of certain crossed product \(C^*\)-algebras |
scientific article; zbMATH DE number 549183 |
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On the \(K\)-theory groups of certain crossed product \(C^*\)-algebras (English)
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12 April 1994
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Given two irrational numbers \(\alpha\) and \(\beta\) introduce the \(C^*\)- algebra generated by three unitary operators \(U\), \(V\), \(W\) with the following relations: \(UV= VU\), \(UW= e^{2\pi i\alpha} WU\), \(VW= e^{2\pi i\beta}WV\). The author shows that both \(K_ 0\) and \(K_ 1\) groups of this \(C^*\)- algebra are isomorphic to \({\mathbf Z}^ 4\).
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\(K\)-theory
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crossed product \(C^*\)-algebras
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