The \(K\)-groups of the \(C^*\)-algebra of a semicircular family (Q2366823)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(K\)-groups of the \(C^*\)-algebra of a semicircular family |
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The \(K\)-groups of the \(C^*\)-algebra of a semicircular family (English)
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5 May 1994
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Let \(\Phi(I)\) be the reduced free product of copies of \(C([0,1])\) endowed with Lebesgue measure and indexed by \(I\). Theorem. \(K_ 0(\Phi(I))\approx \mathbb{Z} \cdot[I]_ 0\) and \(K_ 1(\Phi(I))\approx 0\).
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\(K\)-groups of the \(C^*\)-algebra of a semicircular family
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crossed- products
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reduced free product
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