coaction

noun3

1. •
   Collective or collaborative action.
2. •
   The mapped version of an action to a cogroup.

   • actions and coactions of measured groupoids on von Neumann algebras
3. •
   (no longer used) Force; compulsion, either in restraining or impelling

   • November 9, 1662, Robert South, Of the Creation of Man in the Image of God It had the passions in perfect subjection; and though its command over them was persuasive and political, yet it had the force of coaction, and despotical.