Hi Dirk:
JA University has, in fact, been updated for use with J3.2 and the T3 Framework.
Check the JA University Download page for the current version download.
What you want to make sure of, however, is that the extensions adn plugins you are using are also compatible with the current version(s).
I HIGHLY RECOMMEND MAKING A COMPLETE BACKUP OF YOUR ENTIRE SITE – including databases – prior to effectuating any update/upgrade via your Extension Manager . . . so that you can much more easily revert back to your working version should the update not work as it should.