Cal. UIC § 1955

No person shall be excused from attending and testifying or from producing books, papers, correspondence, memoranda and other records as required by a subpena issued pursuant to this chapter on the ground that the testimony or evidence, documentary or otherwise, required of him may tend to incriminate him or subject him to a penalty or forfeiture. No individual shall be prosecuted or subjected to any penalty or forfeiture for or on account of any transaction, matter, or thing concerning which he is compelled, after having claimed his privilege against self-incrimination, to testify or produce evidence, documentary or otherwise. Nothing in this section exempts any individual from prosecution and punishment for perjury committed in so testifying.