  We calculate the Hall conductivity of a Sierpinski carpet using Kubo-Bastin
formula. The quantization of Hall conductivity disappears when we increase the
depth of the fractal. The Hall conductivity is no more proportional to the
Chern number. Nevertheless, these quantities behave in a similar way showing
some reminiscence of a topological nature of the Hall conductivity. We also
study numerically the bulk-edge correspondence and find that the edge states
become less manifested when the depth of Sierpinski carpet is increased.
