The homotopy groups of the automorphism group of Kirchberg algebras (Q947855)

From MaRDI portal





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

    Statements

    The homotopy groups of the automorphism group of Kirchberg algebras (English)
    0 references
    7 October 2008
    0 references
    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.
    0 references
    purely infinite \(C^*\)-algebras
    0 references
    automorphisms
    0 references
    homotopy
    0 references
    \(K\)-theory
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references