The residually finite group conjecture for chaotic almost minimal actions

Let $G$ be a group. A faithful action of $G$ is called chaotic almost minimal (CAM) if it has dense periodic points and satisfies the almost minimality condition defined for CAM systems in the paper. Residually finite group conjecture. Every residually finite group is CAM. The preceding result shows that a group admitting a faithful action with dense periodic points must be residually finite; the conjecture proposes that residual finiteness is also sufficient for the existence of such a CAM action.