Geodesic laminations revisited
نویسنده
چکیده
The Bratteli diagram is an infinite graph which reflects the structure of projections in a C∗-algebra. We prove that every strictly ergodic unimodular Bratteli diagram of rank 2g + m − 1 gives rise to a minimal geodesic lamination with the m-component principal region on a surface of genus g ≥ 1. The proof is based on the Morse theory of the recurrent geodesics on the hyperbolic surfaces.
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تاریخ انتشار 2009