The player characters in Trinity are psions, humans whose psionic latency has been awakened. He is also whatever he has become after. They may or may not work directly for their order. In terms of politics and allegiances, Trinity is a tangle of conspiracies and secret goals. In fact, although Trinity can be played with a variety of story flavours, the story that emerges most often in the gamebooks is conspiracy.
Characters seem to fall into it.
If you want to play some other kind of story, you're going to have to work at it. The political and cultural setting of the Trinity world is somewhat typical near-future science fiction. Humanity has colonized Earth orbit and the Moon, and even spread to a few worlds beyond the solar system. Trinity isn't a game about interstellar travel though, nor is it cyberpunk. The existence of the psi orders, the Aeon Trinity, and the massive threat of the Aberrants also creates levels of extranational organization that span the globe.