As you've already noticed, there are a lot of wide-angle adapters out there for most camera lenses. The cheaper ones most often don't let you zoom after they are attached. The better ones have what is called "zoom-through."
Where you put the camera makes a big difference, too. For example, if you shoot from the center-side at ground level, it would take a fish-eye lens with lots of distortion to get most of the rink. But if you put the tripod on a high level at or near one corner, it will be easier to get the whole rink into the picture, even when using a less wide-angle lens.
Also, if you shoot from the side with a 17mm lens, your skater will appear very close and wider than usual when she is in the middle and very, very tiny and curved when she is at the ends. Compare that with a more normal length lens while shooting video near a corner.
Here are some examples of a fish-eye lens photo from the side:
Note this one is close to ground-level
http://www.flickr.com/photos/arlingtonva/4314530418/And this one is from a higher angle
http://www.flickr.com/photos/cjsmithphotography/6574848367/