Automorphy lifting for residually reducible l-adic Galois representations, II

<jats:p>We revisit the paper [<jats:italic>Automorphy lifting for residually reducible</jats:italic><jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X20007484_inline2.png" /><jats:tex-math>$l$</jats:tex-math></jats:alternatives></jats:inline-formula>-<jats:italic>adic Galois representations</jats:italic>, J. Amer. Math. Soc. <jats:bold>28</jats:bold> (2015), 785–870] by the third author. We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.</jats:p>