Alternator white wire?

[3D FFR]

Ok, I had to replace my alternator and it had 2 thick black wires and one thin white wire. I was looking on the net and from what I found I don't think need the white wire. But, I wanted to double check here.

Is this correct? Thanks!!!

http://thefactoryfiveforum.com/attachment.php?attachmentid=43072&d=1435354199
43072

[hgcars]

That is probably for a battery indicator light in case of an alternator failure.