Some people think that this is impossible because there isn't a clean divide between body and mind. This school of thought believes that you aren't you without both your body and mind and attempts to store someone's mind are doomed to failure.
Freezing someone opens some interesting legal issues. Death starts a whole bunch of legal processes, like estate liquidation, paying of life insurance etc. What happens to your estate, to any contracts you're a party to, to any legal proceedings against you etc etc, if you're not alive but also not dead?