International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 34, Pages 2139-2146
doi:10.1155/S0161171203209236
K-theory for Cuntz-Krieger algebras arising from real quadratic maps
Nuno Martins1
, Ricardo Severino2
and J. Sousa Ramos1
1Departamento de Matemática, Instituto Superior Técnico, Lisboa 1049-001, Portugal
2Departamento de Matemática, Universidade do Minho, Braga 4710-057, Portugal
Abstract
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.