International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 34, Pages 2139-2146

K-theory for Cuntz-Krieger algebras arising from real quadratic maps

Nuno Martins,1 Ricardo Severino,2 and J. Sousa Ramos1

1Departamento de Matemática, Instituto Superior Técnico, Lisboa 1049-001, Portugal
2Departamento de Matemática, Universidade do Minho, Braga 4710-057, Portugal

Received 20 September 2002

Copyright © 2003 Nuno Martins et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We compute the K-groups for the Cuntz-Krieger algebras 𝒪A𝒦(fμ), where A𝒦(fμ) is the Markov transition matrix arising from the kneading sequence 𝒦(fμ) of the one-parameter family of real quadratic maps fμ.