Title: On the inductive Alperin–McKay condition for simple groups of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="sans-serif">A</mml:mi></mml:math>
Abstract: As a sequel to [6], we verify the so-called inductive AM-condition introduced in [22] for simple groups of type A and blocks with maximal defect. This is part of the program set up to verify the Alperin–McKay Conjecture through its reduction to a problem on quasi-simple groups (see [23]) but also the missing direction of Brauer's height zero conjecture (see [21]).