  We present Very Large Array observations at 33.0 GHz that detect emission
coincident with $\epsilon$ Eridani to within $0\rlap.{"}07$ (0.2 AU at the
distance of this star), with a positional accuracy of $0\rlap.{"}05$. This
result strongly supports the suggestion of previous authors that the quiescent
centimeter emission comes from the star and not from a proposed giant exoplanet
with a semi-major axis of $\sim1\rlap.{"}0$ (3.4 AU). The centimeter emission
is remarkably flat and is consistent with optically thin free-free emission. In
particular, it can be modeled as a stellar wind with a mass loss rate of the
order of $6.6 \times 10^{-11}~ M_\odot ~yr^{-1}$, which is 3,300 times the
solar value, exceeding other estimates of this star's wind. However,
interpretation of the emission in terms of other thermal mechanisms like
coronal free-free and gyroresonance emission cannot be discarded.
