K-theory for Cuntz-krieger Algebras Arising from Real Quadratic Maps
نویسندگان
چکیده
Consider the one-parameter family of real quadratic maps fμ : [0, 1] → [0, 1] defined by fμ(x) = μx(1−x), with μ ∈ [0, 4]. Using Milnor-Thurston’s kneading theory [14], J. Guckenheimer [5] has classified up to topological conjugacy, a certain class of maps which includes the quadratic family. The idea of kneading theory is to encode information about the orbits of a map in terms of infinite sequences of symbols and to exploit the natural order of the interval to establish topological properties of the map. In the following, I will denote the unit interval [0, 1] and c the unique turning point of fμ. For x ∈ I, let
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