Where's James the son of Zebedee in later New Testament history?

Acts 12:2 reports his martyrdom. Notice the corroboration of that account elsewhere in the New Testament. Though James is so prominent in the gospels and was the first apostle taken by Herod in Acts 12, he's not referred to as still alive, much less prominent, in the portions of the New Testament covering later history. The James of Galatians 2:9 is most naturally taken as the James of chapter 1, the brother of Jesus, and the James of chapter 2 isn't mentioned next to John in 2:9, as the son of Zebedee probably would be. So, James the son of Zebedee is conspicuous by his absence in Galatians 2. He's also not mentioned elsewhere in the material that covers post-Acts-12 history, and none of the apostolic documents are attributed to him.