R - trees , dual laminations , and compact systems of partial isometries

نویسنده

  • Martin Lustig
چکیده

Let FN be a free group of finite rank N ≥ 2, and let T be an R-tree with a very small, minimal action of FN with dense orbits. For any basis A of FN there exists a heart KA ⊂ T (= the metric completion of T ) which is a compact subtree that has the property that the dynamical system of partial isometries ai : KA∩aiKA → a −1 i KA∩KA, for each ai ∈ A, defines a tree T(KA,A) which contains an isometric copy of T as minimal subtree.

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تاریخ انتشار 2009