The homotopy groups of the automorphism group of Kirchberg algebras

  • Marius Dadarlat

    Purdue University, West Lafayette, United States

Abstract

We compute the homotopy groups of the automorphism group of Kirchberg algebras. More generally, we calculate the homotopy classes [X,Aut(A)] for a Kirchberg algebra A and a path connected metrizable compact space X satisfying a natural continuity property.

Cite this article

Marius Dadarlat, The homotopy groups of the automorphism group of Kirchberg algebras. J. Noncommut. Geom. 1 (2007), no. 1, pp. 113–139

DOI 10.4171/JNCG/3