THE APPROXIMATION THEOREM AND THE K-THEORY OF GENERALIZED FREE-PRODUCTS

Abstract

We use methods of abstract algebraic K-theory as developed by Friedhelm Waldhausen to give a new derivation of the decomposition theorem for the algebraic K-theory of a generalized free product ring. The result takes the form of a fibration sequence which relates the algebraic K-theory of such a ring with the algebraic K-theory of its factors, plus a Nil-term.