You're talking about
cosmic inflation, but your conclusion is wrong.
Inflation states that not long after the big bang the universe expanded faster than the speed of light. No laws of physics were broken though, because space can stretch faster than the speed of light as long as local objects in that space don't exceed the speed of light.
Think warp drive: The ship isn't traveling faster than light through space, the space that ship occupies is traveling faster than light and the ship is just along for the ride.