Examples of amalgamated free products and coupling rigidity

Mathematics – Group Theory

Scientific paper

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28 pages, 1 figure. This is an expansion of a part of v1 in arXiv:0902.2888

Scientific paper

We present amalgamated free products satisfying coupling rigidity with
respect to the automorphism group of the associated Bass-Serre tree. As an
application, we obtain orbit equivalence rigidity for amalgamated free products
of mapping class groups.

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