Examples of amalgamated free products and coupling rigidity

Abstract

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.

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

References in corpus (5)

• The mapping class group from the viewpoint of measure equivalence theory
• A survey of Measured Group Theory
• Measure equivalence rigidity of the mapping class group
• Orbit equivalence rigidity for ergodic actions of the mapping class group
• Rigidity of amalgamated free products in measure equivalence

Cited by in corpus (4)

• OE and W* superrigidity results for actions by surface braid groups
• Inner amenable groups having no stable action
• Invariants of orbit equivalence relations and Baumslag-Solitar groups
• Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity