Cloud-native global file system with file accelerator

A cloud native global file system is augmented to include a "file accelerator" that is configured to speed up data propagation with respect to updates on a shared volume and, in particular by performing real-time analysis on audit event data to coordinate pushes and pulls across multiple edge appliances, effectively replacing static snapshot and synchronization schedules. A "push" refers to a snapshot on the volume that occurs at a particular filer, and a "pull" refers to a synchronization (sync) operation initiated by a particular filer to obtain whatever is in the cloud (and that is the subject of the pull). The file accelerator operates in several modes of "triggered" operation based on user activity, and under the control of a cloud-based controller.