Unstable $K$-cohomology algebra is filtered lambda-ring

Mathematics – Algebraic Topology

Scientific paper

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17 pages

Scientific paper

Boardman, Johnson, and Wilson gave a precise formulation for an unstable
algebra over a generalized cohomology theory. Modifying their definition
slightly in the case of complex K-theory by taking into account its
periodicity, we prove that an unstable algebra for complex $K$-theory is
precisely a filtered $\lambda$-ring, and vice versa.

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