It is possible to get caught. Seems each wireless router has its own MAC address.
A good firewall might be able to prevent detection.
Found this with Google:
Wireless Router Stolen
by aka4209211 - 9/18/06 6:25 PM
During shifting my things to new place, I noticed my wireless router is missing. Is there any way I can find it, by reporting to police or some other way,..
waiting for nice reply that would help me,...
It's possible.....but not easy...
by jgvillan - 9/19/06 5:59 PM
In Reply to: Wireless Router Stolen by aka4209211
Sorry to hear that it was stolen. Knowing the make and model always helps, but what you really need in order to 'track' it would be if you knew the MAC address of your stolen router. Then go out into the internet and ping the heck out of it....hoping that you would find it and get a reponse back. However, that would also be difficult not knowing where it was connected.....what ISP it is now connected to, and if it's not behild any kind of security firewall. I don't know how to get anymore specific than this, but its at least a start and good luck.