The purification of aluminium by electrolytic refining is called the Hoop's process. This process is specifically designed for the purification of aluminium by separating impurities from the crude aluminium.
In electrolytic refining of metals, the impure metal is used as the anode, a pure metal is used as the cathode, and a suitable metal salt solution is used as an electrolyte. During electrolysis, metal ions from the impure anode move to the cathode and are deposited, while impurities settle down as anode mud or go into the solution. This leads to purification of the metal.
Therefore, the correct answer is the Hoop's process. It is essential to distinguish between the processes based on their specific applications, which often relate to stages in the aluminium production and purification timeline.