X-cut the rivet head down to the shaft with a Dremel tool metal cutoff wheel, then use a pair of nippers under the loop to shear the head off. That way, you don't enlarge the rivet shaft hole through the case to a too-large diameter. Too large a shaft hole diameter and the replacement split rivet tail(s) will never spread enough to give a tight fit securing the handle, which is what you want. Loose rivets allow the handle to "work" back and forth, enlarging the holes and eventually allowing the split tails to pull through the case wall, putting you back where you started.
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