Thank you for your question. I look forward to working with you to provide you the information you are seeking for educational purposes only.
I am afraid that if you leave your car in CA, you need to actually register it in CA and pay the CA registration fees and smog fees. This is something the cash strapped state of CA has been cracking down on lately and they even have a hotline to award people who call in and snitch about someone having a vehicle in CA that is not registered in CA. There is a process to register a vehicle kept in CA more than 30 continuous days for a non-resident and you can see that at: https://www.dmv.ca.gov/portal/dmv/detail/pubs/brochures/howto/htvr9