Quick-Release or Nutted?

Track hubs generally come with solid axles and track nuts. This is because most velodromes have rules requiring this type of wheel attachment.
As a result, it is widely believed that quick-release axles are not suitable for fixed-gear use. This is false!

It is my belief that the velodrome rule dates back to long before the invention of the quick-release, when the choices were standard nuts or wing nuts. The protruding "wings" of wing nuts might constitute a hazard in a crash, and I believe that's why the rule was instituted. Since quick-release skewers don't have any sharp projections, that becomes a non-issue in practice.

If you are going to use a quick release with a fixed gear, you should make sure to use a good quality enclosed-cam skewer.