Cal. Ed. Code § 81501
If a dispute arises between the governing boards of the two districts concerned as to what constitutes fixtures, a board of arbitrators shall be appointed who shall determine what articles in a school building located within territory withdrawn from any district are fixtures thereof. The board shall consist of one person selected by the district from which the territory is withdrawn, one person selected by the district of which it has become a part, and a third person appointed by the county superintendent of schools of the county in which the districts are located. The two districts involved may mutually agree that the person appointed as arbitrator by the county superintendent of schools may act as sole arbitrator of the matters to be submitted to arbitration. The necessary expenses and compensation of the arbitrators shall be divided equally between the two districts, and the payment of the portion of the expenses is a legal charge against the funds of the districts. The arbitrator or arbitrators shall proceed to view and examine such property, articles, equipment, and fixtures as they are requested to pass upon by the respective districts and make a written finding as to what property, articles, or equipment constitute fixtures. The written finding and determination of a majority of the board of arbitrators is final and binding upon the districts submitting the question to the board of arbitration.
Ca. Educ. Code § 81501