The homotopy groups of the automorphism group of Kirchberg algebras (Q947855)
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scientific article; zbMATH DE number 5349403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The homotopy groups of the automorphism group of Kirchberg algebras |
scientific article; zbMATH DE number 5349403 |
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The homotopy groups of the automorphism group of Kirchberg algebras (English)
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7 October 2008
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Summary: We compute the homotopy groups of the automorphism group of Kirchberg algebras. More generally, we calculate the homotopy classes \([X,\mathrm{Aut}(A)]\) for a Kirchberg algebra \(A\) and a path connected metrizable compact space \(X\) satisfying a natural continuity property.
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purely infinite \(C^*\)-algebras
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automorphisms
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homotopy
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\(K\)-theory
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