How to use my aliases in my crontab?
From the manpage regarding aliases:
Note aliases are not expanded by default in non-interactive shell, and it can be enabled by setting the 'expand_aliases' shell option using shopt.
So try using shopt -s expand_aliases at the start of your sourcing script. This should let you use Warner's suggestion.
bash -c with "source" should work:
0 11 * * * bash -c "source .profile && notify-team"
this might also work. the period means "source"
0 11 * * * . .profile && notify-team