Geodesic laminations revisited
Geometric Topology
2009-11-20 v3 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/0209155,
title = {Geodesic laminations revisited},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0209155},
year = {2009}
}
Comments
13 pages, 2 figures, revised version