Amahi updates happen automatically.
Also, major security updates also happen automatically.
Fedora updates are not done automatically by default, for stability reasons. You can do Fedora updates by using the tools that come up on the screen, or you can update by hand via the command line, with
We try to make sure we keep reasonably up to date with Fedora upstream to make sure updates do not break anything in Amahi, however, that's something of a race, so if you update and notice something strange with Amahi, please report it (email to support, or here in the forums), indicating that you updated.