  We discuss the quasiparticle band structure of the antiferromagnetic phase of
the planar Kondo lattice model with a half-filled conduction band, the
so-called Kondo insulator. The band structure is obtained by bond fermion
technique and good agreement is obtained with the single particle spectral
function obtained by Dynamical Cluster Approximation. In particular, various
changes of the band structure with J/t observed in the numerical spectra are
reproduced qualitatively by the calculation. In the absence of Fermi surface
nesting we find a semimetallic phase for sufficiently small exchange constant
and possible experimental consequences are discussed
