Weird. My >< is §, but that's probably the adapters fault. Anyway, I hooked it up to my Linux box to see if the adapter is sending any sort of data when pressing § by catting /dev/input/blah, which it didn't. I tried with two different AEK II's and connected to the Belkin, neither of them sent anything when I pressed the actual § key. :/
Edit: This just keeps getting weirder. On OS X, my >< key works as it should, it's not switched with §.