Segal operations in the algebraic K-theory of topological spaces

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) : A(X) -> A(X x B Sigma(n)) in the algebraic K-theory of spaces. We show that our operations can be given the structure of E-infinity-maps. Let phi(n) : A(X x B Sigma(n)) -> A(X x E Sigma(n)) similar or equal to A(X) be the Sigma(n)-transfer. We also develop an inductive procedure to compute the compositions phi(n) circle theta(n) and outline some applications.