I had this problem in a program I wrote a year ago — turns out the answer is rather complicated. You’ll need to use nohup as well as output redirection, as explained in the wikipedia artcle on nohup, copied here for your convenience.
Nohuping backgrounded jobs is for
example useful when logged in via SSH,
since backgrounded jobs can cause the
shell to hang on logout due to a race
condition [2]. This problem can also
be overcome by redirecting all three
I/O streams:nohup myprogram > foo.out 2> foo.err < /dev/null &