I don't see death penalty happening in a society where a lifetime could be thousands of years. Its just too harsh, with so much to lose. Perhaps sentencing would grow to centuries.
Go read a few Philip K. Dick novels and see if you change your mind. Take current examples of selfish actors with essentially unlimited funds (billionaries, big business, whatever gets your goat) and envision the world after 1,000 years of uninterrupted influence. It's easy to envision a dystopia where caste returns and you're born into a wage slave job at <large retailer of your choice>.
Yes! The ultimate crime, surpassing even Treason. Perhaps death would be too easy for a Murderer. They would have to face perpetual imprisonment, thousands of years of confinement, to sufficiently punish them.