Project K is a plan organized by the Besquith.
From the Books: "Galrath turned his unblinking eyes on the captain. At first he was angry with the captain for even mentioning what was supposed to be a top secret project – a project, that, should the other great houses and guilds of the Union discover was underway, would likely mean the end of the Besquith in a most spectacular fashion. Perhaps the captain had a point, though; he obviously had a high enough clearance to know about the project, and that meant he had likely been privy to a full security briefing. All it would take was one glimpse of a few images for any sentient species in the galaxy to recognize the goal of Project K."
- Cartwright's Cavaliers, p. 29.