C*-algebras associated with amalgamated products of groups

Abstract

Let V denote the class of discrete groups G which satisfy the following conditions (a), (b) and (c):(a) G = (A * B; K = φ(H)) is the free product of two groups A and B with the subgroup H amalgamated.(b) H does not contain the verbal subgroup A(X2) of A and K does not contain the verbal subgroup B(X2)of B.