Genetics problem, Blood type question?

Mr Peterson is asking Mrs Peterson for a divorce, and refuses to pay child support. He continues to argue that his wife had an affair with his best friend and that "his" baby daughter Luciana is not related to him. The court ordered for all the parties involved to have their blood tested. Blood test showed that Mr Peterson was Type O, Mrs Peterson type AB. Mr Petersons best friend's blood type is B. Luciana is type B. Did Mrs Peterson cheat? Did Mr Peterson father Luciana?