JournalsprimsVol. 32 , No. 3DOI 10.2977/prims/1195162850

On the K-Theory of Cuntz-Krieger Algebras

  • David Pask

    University of Wollongong, Australia
  • Iain Raeburn

    University of Newcastle, Australia
On the K-Theory of Cuntz-Krieger Algebras cover

Abstract

We extend the uniqueness and simplicity results of Cuntz and Krieger to the countably infinite case, under a row-finite condition on the matrix A. Then we present a new approach to calculating the K-theory of the Cuntz-Krieger algebras, using the gauge action of T, which also works when A is a countably infinite 0-1 matrix. This calculation uses a dual Pimsner-Voiculescu six-term exact sequence for algebras carrying an action of T. Finally, we use these new results to calculate the K-theory of the Doplicher-Roberts algebras.