  We verify the Becker-Shultz axioms characterizing the Becker-Gottlieb
transfer $\tau$ for the composite of the algebraic K-theory transfer of any
perfect fibration followed by the trace map. As a consequence, for any compact
ANR fibration (those considered by Becker-Shultz), $\tau$ is homotopy
equivalent to the composite of the algebraic K-theory transfer followed by the
trace map. Furthermore, if these same axioms (including strong additivity)
could be shown to extend to characterizing $\tau$ for arbitrary perfect
fibrations, our homotopy equivalence extends to the case of arbitrary perfect
fibrations as well.
