Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees

Details Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees

2007-06-09

arxiv.org/abs/0706.1313v1

Illinois Journal of Mathematics 51 (2007) 897-911

Mathematics

Group Theory

to appear in the Illinois Journal of Math

Scientific paper

We continue in this article the study of laminations dual to very small actions of a free group F on R-trees. We prove that this lamination determines completely the combinatorial structure of the R-tree (the so-called observers' topology). On the contrary the metric is not determined by the lamination, and an R-tree may be equipped with different metrics which have the same observers' topology.

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