"There was a woman permanently living with me, called Acte"

Claudius is quite frank here about the loveless and sexless state of his marriage, and the fact that his relationship with Acte, a prostitute, was "a purely business one." She and her successor in this role, Calpurnia, become very significant characters later on.

Acte is a fictional character, but Tacitus tells us of two "mistresses" to whose company the historical Claudius was "especially partial," one of whom was named Calpurnia.