The local Langlands conjecture for GSp(4), II: The case of inner forms

In an earlier paper of the first author and Shuichiro Takeda, the local Langlands correspondence for ${\rm GSp}_4(F)$ over a non-archimedean local field $F$ of characteristic zero was established and several expected properties of the correspondence verified. In this paper, we extend the local Langlands correspondence to the inner form ${\rm GU}_2(D)$ of ${\rm GSp}_4$.