International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 10, Pages 593-605
doi:10.1155/S0161171203208012
Unstable K-cohomology algebra is filtered λ-ring
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana 61801, IL, USA
Received 3 August 2002
Copyright © 2003 Donald Yau. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Boardman, Johnson, and Wilson (1995) 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.