All the following verses of Koran prove that there will be life in the Purgatory (after death) and everyone who dies will face the divine rewards and punishments of their deeds performed in the world:
Do not reckon those who are killed for God’s sake are dead, but rather living, they will be provided for by their Lord (3:169)
So happy they be with whatever God had given them out of his bounty, and rejoicing for those they left behind who have not yet overtaken them.
No fear will fall on them nor will they be saddened (3:170)
They will rejoice because of favour and bounty from God, since God does not deprive believers of their wages (3/171)
Do not say: “they are dead”! About anyone who is killed for God, sake.
Rather they are living, even though you do not notice it (2:154)
Because of their mistakes, they were drowned and dispatched into the fire (71:25)
O Tranquil soul (89:27)
Return to your Lord well pleased and pleasing [him]! (89:28)
Enter among My servants (89:29)
My enter garden (89:30)
Thus if he is one of those who are drawn close (56/88) 9he will have] contentment, fragrance, and a garden of bliss (56/89)
While if he is one of the companions on the Right: (56/90)
“Peace be upon you” [will be the greeting] from the companions on the Right: (56/91)
However if he is one the mistaken rejectors (56/92)
A welcome of scalding water (56:93)
Plus a roasting in heads [will await him] (56:94)