WEll first of all the 930 is an international phone model, NOT a US phone. So it has all the frequencies that are supported outside of North America, at least when LTE is concerned. US LTE does not match overseas LTE frequencies.
Its also Quad band GSM so it uses 4 of the 5 universal frequencies which is 850/900/1900/2100 (I think) 3G should work everywhere.
Sprint and Verizon I believe there is a GSM vs CDMA discrepancy which is why the 930 wont work on those (and why the icon doesn't work on the AT&T)
For Tmobile, im guessing its kind of like the 'smaller' players up here in Canada. They have their own frequencies again. I think they use 700mhz/1700/2100. But I don't know.
Its usually why you typically have to find a 'special' variant of some phones so they work on tmobile.
the other side of the coin is, why cant a manufacturer just release one device with all the available frequencies instead of multiple devices with different frequencies.