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California Unemployment Insurance Code Section 1264

(a) Unemployment compensation benefits, extended duration
benefits, and federal-state extended benefits shall not be payable on
the basis of services performed by an alien unless the alien is an
individual who was lawfully admitted for permanent residence at the
time the services were performed, was lawfully present for purposes
of performing the services, or was permanently residing in the United
States under color of law at the time the services were performed,
including an alien who was lawfully present in the United States as a
result of the application of the provisions of Section 203(a)(7) or
Section 212(d)(5) of the Immigration and Nationality Act.

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Another section concerning misrepresentation of identity:




1257. An individual is also disqualified for unemployment
compensation benefits if:
(a) He or she willfully, for the purpose of obtaining unemployment
compensation benefits, either made a false statement or
representation, including, but not limited to, using a false name,
false social security number, or other false identification, with
actual knowledge of the falsity thereof, or withheld a material fact
in order to obtain any unemployment compensation benefits under this
division.