Would it be tax fraud if you’re still in California? You record your address when you file with the state, I don’t think the state cares where you get your mail.
I guess the employer could have some contractual terms requiring your address to be at some location. I’ve never seen that though.
I think you just change your address if you move within the state. I don’t think companies track your address as long as you’re the same for taxation. That’s why people do insane 2 hour commutes.
