The correct answer is: The trench is formed by a subduction zone which has also created volcanic islands.
As all the other trenches on the plate boundaries of the Pacific plate, the Aleutian Trench, on the boundary between the Pacific and the North American plate, has also come to be because of the subduction zone appearing between the two plates.
The lower and heavier Pacific plate is subducting bellow the North American plate, and that results into large deep spaces opening up between the two plates, thus the emergence of the trenches. Also, because the magma from bellow the crust has easy access to the surface, it comes upwards and creates multiple islands with the volcanic activity that it produces.