More then likely the answer is maybe. Most 1055T hit between 3.7-3.9ghz.
And I'm trying to figure out way most people thinks all AMD Athlon II or Phenom II can it 4.0ghz+.
Sorry. I'd re-edit my answer. I was help a friend with a Athlon II build and got confuse and put athlon II spec in there.
But umm just to repeat
the cooler master hyper 212+ says compatible with i7 and i5 and also my power supply says that... will it still run with amd processors