K-theory of Morse geodesics
نویسنده
چکیده
We develop the K-theory of a C∗–algebra Oλ which represents the leaf space of measured foliations studied by Novikov, Masur, Thurston and Veech. The K-theory construction is based on the coding of geodesic lines due to Koebe and Morse. This method allows to calculate the range of Elliott group (K0, K + 0 , [1]) of Oλ, to establish a condition of strict ergodicity of the interval exchange transformations and to prove the Keane conjecture.
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