English

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

Algebraic Topology 2007-05-23 v1

Abstract

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 KK-theory is precisely a filtered λ\lambda-ring, and vice versa.

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Cite

@article{arxiv.math/0209033,
  title  = {Unstable $K$-cohomology algebra is filtered lambda-ring},
  author = {Donald Yau},
  journal= {arXiv preprint arXiv:math/0209033},
  year   = {2007}
}

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17 pages