My advice... Replace the rotor with aftermarket performance rotor.
I had a Speedmaster and now have an America and both bikes had a pulse in the front brakes. I got the shop to check out the speedmaster. They found low spots in one of the rotors. When contacted, Triumph warranty said that they were not out enough to replace but to keep ridin the bike and it should clear up.
When the same thing happened to the America within the first couple thousand miles, I decided to not waste my time with Triumph and ordered an EBC rotor from newbonneville.com. I've had no brake problems since then and have never had a problem with the rear brakes. I was told that I could get the rotor turned. However, turning down motorcycle brake rotors is not recommended.
I have drawn the conclusion that Triumph is using "seconds" parts for the front brakes on the Speedmaster and America models. But, I am wrong sometimes.