  Axial anomaly of lattice abelian gauge theory in hyper-cubic regular lattice
in arbitrary even dimensions is investigated by applying the method of exterior
differential calculus. The topological invariance, gauge invariance and
locality of the axial anomaly determine the explicit form of the topological
part. The anomaly is obtained up to a multiplicative constant for finite
lattice spacing and can be interpreted as the Chern character of the abelian
lattice gauge theory.
