In this paper, we generalize the Cantor function to 2-dimensional cubes and
construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial
on the pullback of the smooth functions on the 2-dimensional torus with the
generalized Cantor function while it vanishes on the Lipschitz functions on the
Cantor dust. The cocycle is calculated through the integration of 2-forms on
the torus by using a combinatorial Fredholm module.Comment: 8 page