Unless the rifle was registered in CA as a CA "AW" prior to 1/1/00 and you are bringing it back into CA after a temporary stay out of state, it is illegal to bring any AR-15 into CA. The only possible exception would be for one that is configured permanently as a single-shot (i.e. no magazine well).
You CAN apply for a permit to import an AW into the state, supposedly under Section 12230 of the Penal Code. The language of 12230 mentions "machine guns" but not "AWs" (i.e. it hasn't been technically updated to reflect "assault weapons"). I have no first-hand information about what kind of experience people have had with the application process. My knee-jerk reaction is to say "Lotsa luck, they'll never issue one, you are totally SOL", but that would be dishonest.
Here's the phone number for the California Department of Justice. I suggest you call and ask them about temporarily bringing your rifle into the state for recreational purposes. (Hey, if nobody even bothers to ASK for a permit they surely will never issue one.)
See [url]http://caag.state.ca.us/firearms/[/url]
And call (916) 227-3694 for the "Special Weapon Permits" section. You may be a pioneer.
Let us know what they tell you!