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In 1159, Adolf accompanied the Emperor Frederick I into Italy and in 1164 he aided Henry the Lion against the Obotrites, dying in the Battle of Verchen.
He did a great deal to mediate between the leaders of the Crusade before his death at Arras, bringing Henry II of England and Philip II of France to reconcile, as well as healing the rift between the Emperor Frederick I and Philip I, Archbishop of Cologne.
In 1161, inspired by the new Archbishop of Esztergom, Lukács, Géza not only acknowledged the legitimacy of Pope Alexander III instead of Antipope Victor IV, who had been supported by Emperor Frederick I, but he also renounced the right of investiture.