  We complete the analysis carried out in previous papers by studying the
Hawking radiation for a Kerr black-hole carried to infinity by fermionic
currents of any spin. We find agreement with thermal spectrum of the Hawking
radiation for fermionic degrees of freedom. We start by showing that the
near-horizon physics for a Kerr black-hole is approximated by an effective
two-dimensional field theory of fermionic fields. Then, starting from 2d
currents of any spin that form a W(1+infinity) algebra, we construct an
infinite set of covariant currents, each of which carry the corresponding
moment of the Hawking radiation. All together they agree with the thermal
spectrum of the latter. We show that the predictive power of this method is not
based on the anomalies of the higher spin currents (which are trivial), but on
the underlying W(1+infinity) structure. Our results point toward the existence
in the near-horizon geometry of a symmetry larger than the Virasoro algebra,
which very likely takes the form of a W(infinity) algebra.
