California is a community property state. That may affect the answer. Sit down with a California attorney and discuss not only whether the can after your spouse, but what can happen to you if the money is not paid.
[This communication is intended as general information and not specific legal advice, and this communication does not create an attorney-client relationship.]
Since California is a community property state, spouses are usually liable for the debts incurred during the marriage. There are exceptions to that general rule.
You should speak with a family law attorney who can provide advice on communal debt obligations.