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

Abstract

We compute the $K$-groups for the Cuntz-Krieger algebras ${\mathcal{O}}_{A_{\mathcal{K}(f_{\mu })}}$, where $A_{\mathcal{K}(f_{\mu })}$ is the Markov transition matrix arising from the \textit{kneading sequence }$\mathcal{K}(f_{\mu })$ of the one-parameter family of real quadratic maps $f_{\mu }$.

8 pages