On J-orders of elements of $KO(CP^m)$

Abstract

Let $KO(CP^m)$ be the KO-ring of the complex projective space $CP^m.$ By means of methods of rational D-series, a formula for the J-orders of elements of $KO(CP^m)$ is given. Explicit formulas are given for computing the J-orders of the canonical generators of $KO(CP^m)$ and the J-order of any complex line bundle over $CP^m.$