Continuous Interval Exchange Actions

Details Continuous Interval Exchange Actions Continuous Interval Exchange Actions

2010-07-07

arxiv.org/abs/1007.1221v1

Mathematics

Dynamical Systems

To appear in Algebraic & Geometric Topology; 16 pages, 6 figures

Scientific paper

Let E denote the group of all interval exchange transformations on [0,1).
Given a suitable topological group structure on E, it is possible to classify
all one-parameter interval exchange actions (continuous homomorphisms from R to
E). In particular, up to conjugacy in E, any one-parameter interval exchange
action factors through a rotational torus action.

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