If i had a fake profile and use google adsense

well, i am not sure about that. what i know exactly is, we cannot submit a fake profile to create a google adsense account. but i guess, basically you can put your adsense account (or adsense publisher code) "anywhere", as long as the site doesn't violate google terms.

If you had been banned by google you can do one thing. Create another id and apply for adsense through it. But make sure that you apply from some other computer and not from the one you had registered earlier. And if you are approved you can place ads in the blog. But you cant give fake details in your adsense account as all your earnings will come to your account. So give the correct details there. And one important thing is "never try to cheat google" as they have unique methods to find out if the clicks are valid. But no problem with creating another id for a blog.

Well if you're using fake identity to adsense, google will not accept your account. because it just doesnt right..

try use your real identity so google adsense will accept you and they pay you.

If you registered the site with your real name (for payment purposes), I think it would be ok. It's like you are presenting a work of fiction with a pseudonym for the author. But you have to make sure that when you registere with adsense, you register it under your name because they will have to write the check to someone and if that someone is not you, then you will have a hard time cashing the check.