Note that whether you have a solid green or a green arrow matters. A solid green means you can turn left, but you might have cross traffic. A green arrow means you're protected and as long as other people are obeying traffic signals, you shouldn't run into other people.
Lots of drivers don't understand this.
Lots of drivers also don't understand a red right arrow (as opposed to a red solid circle) means you cannot turn right on red. Most "no right on red" intersections have both the arrow and a sign (and many drivers ignore both).