  The diffuse gamma-ray background radiation (GBR) at high Galactic latitudes
could be dominated by inverse Compton scattering (ICS) of cosmic ray (CR)
electrons on the cosmic microwave background radiation (CBR) and on starlight
(SL) in an extended CR halo of our galaxy. Assuming the locally observed CR
electron spectrum beyond a few GeV, which follows from equilibrium between
Fermi acceleration and radiative cooling, to be a universal spectrum throughout
our galaxy and its CR halo, we reproduce the observed spectral index, the
intensity and the angular dependence of the GBR, in directions away from the
galactic disk and centre, without recourse to hypothetical extragalactic
sources.
