Combat popups always report that a fleet was "attacked by <other player name>" even if the player was the one who initiated the attack.
Combat reports are not informative enough, only reporting that combat occurred without giving the number and type of ships involved, the time that the attack took place, or the outcome of the battle.
If a planet is being invaded by a fleet, every fleet orbiting the planet will show the status "Invading <Planet Name>" even if they belong to other players who are not participating in the attack. The neutral ships don't actually participate in combat, they just display the "Invading" status. This is confusing and could pull players into wars unnecessarily.