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

Nuno Martins·Ricardo Severino·J. Sousa Ramos
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Abstract

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

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Nuno Martins, Ricardo Severino, J. Sousa Ramos. 2002-09-19. K-theory for Cuntz-Krieger algebras arising from real quadratic maps. https://arxiv.org/abs/math/0209246

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