Generalized Abel-Jacobi map on Lawson homology

We construct an Abel-Jacobi type map on the homologically trivial part of Lawson homology groups. It generalizes the Abel-Jacobi map constructed by Griffiths. By using a result of H. Clemens, we answer affirmatively the question whether there exists a smooth projective complex variety with infinitely generated Lawson homology groups $L_pH_{2p+k}(X, {{\Bbb Q}})$ when $k>0$. As a corollary, we find, for any nonnegative integer $j$, a smooth complex projective variety $X$ carrying infinitely generated semi-topological $K$-groups $K^{sst}_j(X)_{{\Bbb Q}}$.