We calculate the spectral functions, the band structure and the density of
states of the 2D attractive Hubbard model in the intermediate coupling regi
me (i.e. the crossover regime between BCS theory and Bose-Einstein Condensa
tion) using a grand canonical quantum Monte-Carlo approach and a maximum en
tropy procedure. The evolution of the spectral properties as a function of
temperature is discussed. In particular, on lowering the temperature, we fi
nd a splitting of the single band present at high temperatures into several
distinct branches, the number of which depends on the temperature.