Existentially closed measure-preserving actions of approximately treeable groups

Isaac Goldbring, Brandon Seward, Robin Tucker-Drob

Given a countable group $\hat{I}“$, letting ${\mathcal{K}}_{\hat{I}}“$ denote the class of {\pmp} actions of $\hat{I}“$, we study the question of when the model companion of ${\mathcal{K}}_{\hat{I}}“$ exists. Ber…