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

Mathematics – K-Theory and Homology

Scientific paper

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13 pages, LaTeX2e

Scientific paper

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 $CP^m.$

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