  Continuum low-frequency radio observations of the Galactic Center reveal the
presence of two prominent radio sources, Sgr A East and its surrounding Halo,
containing non-thermal particle distributions with power-law indices around
2.5-3.3 and 2.4, respectively. The central 1-2 pc region is also a source of
intense (stellar) UV and (dust-reprocessed) far-IR radiation that bathes these
extended synchrotron-emitting structures. A recent detection of gamma-rays
(2EGJ1746-2852) from within around 1 degree of the Galactic Center by EGRET
onboard the Compton GRO shows that the emission from this environment extends
to very high energies.
  We suggest that inverse Compton scatterings between the power-law electrons
inferred from the radio properties of Sgr A East and its Halo, and the UV and
IR photons from the nucleus, may account for the possibly diffuse gamma-ray
source as well. We show that both particle distributions may be contributing to
the gamma-ray emission, though their relevant strength depends on the actual
physical properties (such as the magnetic field intensity) in each source. If
this picture is correct, the high-energy source at the Galactic Center is
extended over several arcminutes, which can be tested with thenext generation
of gamma-ray and hard X-ray missions.
