A new isomorphic (\ell_1) predual not isomorphic to a complemented   subspace of a (C(K)) space
  An isomorphic (\ell_1)-predual space (X) is constructed such that neither (X) is isomorphic to a subspace of (c_0), nor (C(\omega^\omega)) is isomorphic to a subspace of (X). It follows that (X) is not isomorphic to a complemented subspace of a (C(K)) space. 
Ioannis Gasparis
math.FA