(a) Except for responsibility for any debt contracted prior to the surrender of jurisdiction, all municipal jurisdiction shall cease over the territory excluded from the municipality's corporate limits on the effective date of the ordinance if the contraction is done by ordinance, or on the date of the certification of the results of the election if the contraction is done by election. The municipality may continue to levy and collect taxes on property in the excluded territory to pay the excluded territory's proportion of any debt contracted prior to the exclusion.
(b) The chief executive officer of the municipality shall notify the county assessor of property as to contractions in the territorial limits of the municipality and shall provide the county assessor of property with a complete description of all property affected by the contractions.