The Exalter, The Elevator, The Raiser.
Allah is Ar-Rafi (in Arabic: ٱلْرَّافِعُ).He is The One who lowers whoever He wills and raises whoever He wills. The One who chooses who will be raised in rank in every way.
From the root r-f-‘ which has the following classical Arabic connotations: to raise or elevate something, to uplift, to take it up, to make high, to exalt, make honorable, make eminent, to bring a thing near.
This name is contrasted with al-Khafid meaning the reducer. Just as Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ can lower, he has the power and ability to raise. He honours certain individuals like the Prophets (may peace be upon them) and they are venerated to this day. Others have been disgraced like Abu Lahab, the uncle of Prophet Muhammad ﷺ.
As we mentioned in the name al-Kahfid varying scholars have different criteria for what consitutes as a name of Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ. You won't find ar-Rafi recognized as an official name by certain scholars. This includes Ibn Uthaymeen and Ibn Hazm among others. As a general rule of thumb, if the name includes the prefix alif lam then that's a clear indication of belonging as a name of Allah. In this case you can see how these verses describe the attribute of Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ being the one who raises.
"And that was Our [conclusive] argument which We gave Abraham against his people. We raise by degrees whom We will. Indeed, your Lord is Wise and Knowing." (Qur'an 6:83)
"O you who have believed, when you are told, “Space yourselves” in assemblies, then make space; Allah will make space for you. And when you are told, “Arise,” then arise; Allah will raise those who have believed among you and those who were given knowledge, by degrees. And Allah is Acquainted with what you do." (Qur'an 58:11)
The story of Iblees is yet another example how Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ chooses to either exalt or debase. Iblees was created by Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ as one if the highest ranking Angels but he refused to prostrate to Adam "He said, 'I am better than him. You created me from fire and created him from clay.'" (Qur'an 38:76a>) so Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ lowered his rank.
In Surah ash-Sharh verse 94, Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ reminds Prophet Muhammad ﷺ He had raised his status as to comfort him. Keep in mind this is an early Meccan surah, at a time when the Prophet was relatively unknown with a few followers.
"And raised high for you your repute."