English

Rotation numbers in Thompson-Stein groups and applications

Dynamical Systems 2011-08-23 v2 Group Theory

Abstract

We study the properties of rotation numbers for some groups of piecewise linear homeomorphisms of the circle. We use these properties to obtain results on PL rigidity, non isomorphicity, non exoticity of automorphisms, non smoothability for Thompson-Stein groups.

Keywords

Cite

@article{arxiv.math/0604109,
  title  = {Rotation numbers in Thompson-Stein groups and applications},
  author = {Isabelle Liousse},
  journal= {arXiv preprint arXiv:math/0604109},
  year   = {2011}
}

Comments

16 pages 3 figures