The Kondo-reduced Emery model is investigated for cyclic CuO chains. W
hen the spin-exchange coupling is zero, the model is exactly solvable
in terms of spinless fermion operators. In the general case we find th
at the ground state energy has an unconventional dependence on an exte
rnal magnetic flux. This behaviour can be interpreted as due to an ind
uced statistical flux. The strong-coupling behaviour can be explained
in terms of compound particles, which allows some rigorous results in
this limit.