On $\lambda$-ring structures over Z[[x]]
Donald Yau (University of Illinois at Urbana-Champaign), dyau@math.uiuc.edu
It is shown that the $\lambda$-ring structure over the power series ring
Z[[x]] given by the $K$-theory of $CP^\infty$ is uniquely determined by
the following condition:
\psi^p(x) = px mod{x^2}
for each prime $p$, where $\psi^p$ is the Adams operation. Applications
to algebraic topology and formal group laws are given.