I'm not sure of the exact parts but there is some debate over the Match trigger in a compact. I know that the Match triger isn't available from the factory on any compacts including the CT. Here is where Bill Springfield discusses that fact that it doesn't work well in the USPc.:
Having said that, if my memory serves me I believe there was someone that did have one (BigChris maybe) so it may be possible. Either way it is an issue for you to consider during your build. Good luck.