I didn't do anything special. Just plugged it in. They had a couple different ones on monoprice. Did you get the same one I linked? It is the only one that says it will work with the sgs2. Mine works great and the picture quality is pretty good. I would try and just exchange it.
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So I got a replacement one today (damn monoprice, you fast!) and this one does the same thing. Charges the phone with wifi working just fine, but when I connect HDMI, wifi and cell cut out. I may bring this adapter to best Buy and see if I can try with one of the store models...maybe I have a defective phone? Seems to be a pretty weird/specific defect though.