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

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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 $f_μ$.
8 pages

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Dynamical Systems, Operator Algebras, 37A55; 37B10; 37E05; 46L80

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http://salesiana.dossiersoluciones.com/handle/123456789/65003

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209246
 http://arxiv.org/abs/math/0209246

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arXiv