A California business group can move forward on one constitutional challenge to a worker-friendly law that allows employees to sue their employers on the state’s behalf.

The California Business & Industrial Alliance can proceed on grounds that the Private Attorneys General Act, or PAGA, violates employers’ procedural due process rights, Judge Peter Wilson of the Orange County Superior Court ruled June 6 from the bench.

But the group’s other claims, including that the law imposes unconstitutionally excessive fines, were dismissed....