  We extend earlier work of Waldhausen which defines operations on the
algebraic $K$-theory of the one-point space. For a connected simplicial abelian
group $X$ and symmetric groups $\Sigma_n$, we define operations $\theta^n
\colon A(X) \rightarrow A(X{\times}B\Sigma_n)$ in the algebraic $K$-theory of
spaces. We show that our operations can be given the structure of
$E_{\infty}$-maps. Let $\phi_n \colon A(X{\times}B\Sigma_n) \rightarrow
A(X{\times}E\Sigma_n) \simeq A(X)$ be the $\Sigma_n$-transfer. We also develop
an inductive procedure to compute the compositions $\phi_n \circ \theta^n$, and
outline some applications.
