On that day did the king … give the house of Haman. When a criminal was executed, everything that belonged to him became the property of the crown, and was disposed of according to the king's pleasure.
It pleased Ahasuerus to make over to Esther the house of Haman, with, no doubt, all its content, attendants, furniture, and treasure. The Jews' enemy. This now becomes Haman's ordinary designation (see Esther 9:10, Esther 9:24).
Traditional practices have in many places kept up his memory as one of the most hated adversaries of the nation. And Mordecai came before the king. Mordecai became a high official—one of those in constant attendance on the king.
For Esther had told what he was to her. i.e. had revealed his relationship, had told that he was her cousin. Mordecai having been recognised as a "king's benefactor" (Esther 6:3-11), and Esther having been forced to confess herself a Jewess in order to save her nation (Esther 7:3, Esther 7:4), there was no object in any further concealment.