Flow My Tears, The Policeman Said

Although this future US is a grim police state with labour camps in Alaska and Canada, jetsetting Taverner enjoys being one of the winners.

Then he wakes up in a sleazy hotel room, still well-dressed and flush with money, but no longer the famous Jason Taverner. No ID--that's a forced-labour offence. His agent doesn't know him. Nor do his closest friends. He's even vanished from police databanks. 

The title's policeman is another interesting character: Police General Felix Buckman, a mostly good man (and fan of Elizabethan songs: "Flow, my teares...") trapped in a horrible system. Is Taverner, the man with no past, a threat? Less so, maybe, than Buckman's amoral sister Alys, who takes special interest in Taverner and seems to have the world's only copies of his music albums...