Rigidity of amalgamated free products in measure equivalence
Rigidity of amalgamated free products in measure equivalence
A discrete countable group Γ is said to be ME rigid if any discrete countable group that is ME to Γ is virtually isomorphic to Γ. In this paper, we construct ME rigid groups by amalgamating two groups satisfying rigidity in a sense of measure equivalence. A class of amalgamated …