"K" means "degrees Kelvin".
<center><img src="http://pictureposter.audiworld.com/224/kelvinscale.jpg"></center><p>The Kelvin scale is used for measuring absolute temperatures as well as the coloration of light. As you can see in this chart I've included, "stage 1" HIDs are "below" daylight (lower frequency) and, by the standards of that website, "stage 2" HIDs are "above" daylight (higher frequency). I don't know what the exact specs of the Audi HIDs are, but I do know that almost every single aftermarket manufacturer that makes HID retrofit kits claims their systems to be somewhere in the mid 4500K range, so it makes sense that the Audi systems are probably close to that. If you are thinking about stage 1 vs. stage 2, just keep in mind this: The further up the Kelvin scale you go, the higher frequency the light. The higher frequency the light, the easier it is to scatter. This means that in foul weather, one of those "stage 2 kits" is going to emit a much less effective light color that a "stage 1" kit. This is also why those blue halogen bulbs suck so bad. But that's another story. Bottom line: those stage 2 kits probably look really cool, but at that high of a frequency, they are probably next to worthless in rain/snow/fog etc. Just something to think about.
Oh, and I know that the Audi systems sometimes look super-purple from some angles, but I attribute that more to the shape of the projector lense than to the HID system. If you ride in an Audi with factory HIDs, you'll see that the actual light emitted is pretty close to white, not purple.