Get rid of Buddypress bar in Product theme


I´d like to use product theme as a default for my group blogs. Since the buddypress Navigation links don´t work correctly on the group-blogs I would like to get rid of the buddybress navigation (not the admin bar – I am talking about the menu that is built in). In theme options I can chose if I want the buddypress navigation to be on top or at the bottom. Is there an easy tweak to the template files so I can turn ist off completely?

Thanks already for your help and nice greetings from Germany