Geodesic laminations revisited

Details Geodesic laminations revisited Geodesic laminations revisited

2002-09-13

arxiv.org/abs/math/0209155v3

Acta Appl. Math. 108 (2009), 679-686.

Mathematics

Geometric Topology

13 pages, 2 figures, revised version

Scientific paper

10.1007/s10440-008-9429-6

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 greater or equal to 1. The proof is based on the Morse theory of the recurrent geodesics on the hyperbolic surfaces.

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