  We identify the Grothendieck group of the tangle Floer dg algebra with a
tensor product of certain $U_q(gl(1|1))$ representations. Under this
identification, up to a scalar factor, the map on the Grothendieck group
induced by the tangle Floer dg bimodule associated to a tangle agrees with the
Reshetikhin-Turaev homomorphism for that tangle. We also introduce dg bimodules
which act on the Grothendieck group as the generators $E$ and $F$ of
$U_q(gl(1|1))$.
