It appears that Loop Cut (Ctrl+R) automatically switches you to Edge Mode.
Is there a way to remain in Face Mode after doing a Loop Cut? I've looked through the hot key references that I could find but no luck.
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You can in a way.. In the 3d view header, hold Shift and click on the Edge and Face icons. The only drawback to this is that you will be in both Edge and Face selection mode.
Also, the quickest way to switch selection modes in Blender is to use CtrlTab, (you can also hold Shift while selecting here too to get multiple selection modes, to leave a mode, do the same thing).