According to an arcane New York legal statute, you're only allowed to call yourself a coop if your organization is actually a cooperative—that is, owned and operated by members. And if it's not? Says the law: "Any cooperative corporation may sue for an injunction against such prohibited use of the term." It's unclear whether the Food Coop would actually sue. Given that the manager raised the issue in a letter to the Brooklyn Paper, though, the grocery store clearly wants the borough to know that a lawsuit is an option.