Unstable K-cohomology algebra is filtered lambda-ring

2002/09/04 by Donald Yau
Mathematics · #math.AT #msc:55N20 #msc:55N15 #msc:55S05 #msc:55S25

paper · pdf

published as Int. J. Math. Math. Sci. (2003), no. 10, 593-605. · 17 pages

arxiv created 2002/09/04 · arxiv updated 2009/11/30

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 K-theory is precisely a filtered λ-ring, and vice versa.

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