Does a triple divorce take effect on the wife when the husband says: "The woman who says such words deserves a triple divorce," if he intended not divorce but rather a threat?

Divorce does not occur unless there is an intention to initiate it, either with an explicit pronouncement or an implicit one accompanied by the intention of its occurrence. What the man said to his wife, "You deserve the triple divorce," is a threat and not an initiation of divorce, so nothing is incumbent upon him.