An action is visible to the user in the Actions view if:
a) its publishing is connected to a parent element to which the user has at least viewing rights,
b) the user has created the action him/herself and published it with the "Author" option,
c) the action is published to everyone, or
d) the action is published to a limited group of users and the user is a member of that group.
Note that administrator users can view all the actions.