Drivers of the world. When you have a green right turn arrow it means you have the right of way. It means that there will not be opposing traffic coming from the other direction. It means that you can not come to a full stop, check both ways for a few seconds, and then turn. If you want to slow down a little bit just to be sure, maybe. But please, you do not need to come to a full and complete stop.
That is all.