Cal. Bus. & Prof. Code § 14418

The filing of any fictitious business name statement pursuant to Section 17910 does not, of itself, authorize the use in this state of a fictitious business name in violation of the rights of another as established under this chapter, the federal law relating to trademarks (15 U.S.C. Sec. 1051 et seq.), or the common law, including rights in a trade name.