I stumbled across the restricted facility list in the rules
What I wonder now is if you need an info-faction as a manager for a library, museum and stadium to make income. I heard both options and have no idea if the rules-page is outdated or if it's ok for a player to manage.
Library and Museum you do not - I manage a couple of them and always get the income. Stadiums not sure, but I would suspect the same - info factions aren't really known for being FI managers like Religion etc are.