Allergy-free cats

Hello, I'm a new member (and a die hard cat lover )
I, personally, don't have allergy problems, but my girlfriend does. She loves cats as much as I do and would like one for herself, but she can't have one because every time she goes near one her nose and eyes start to itch, and she sneezes a lot.

She thought she'd never be able to have a cat, but lately I've heard about a few specific races of cats that are supposed to not cause allergic reactions. The only one I can remember is the norwegian breed.

Anything you can tell me about this? I usually don't care about races, pedigrees and such, but if there really are some allergy-free ones I might actually be willing to pay for one.

There are some cats that are claimed to be allergy free, there is a huge waiting list, from what I understand, and they are going for about $3,000 USD each!

There are so many cats out there that need homes - why not look into the sphinx breed and see if she would be allergic to those?

We don't have that kind of money.
I'm not talking about the genetically modified cats... just about some breeds which, I read, are much less prone to cause allergy. I've been told the LaPerm is one such breed.
Also: I'm sure Sphinx cats are just as much fun to have as other cats, but... well, we just don't like furless cats. Sorry...