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The Relation Between Stable Operations for Connective and Non-Connective p-Local Complex K-Theory

Published online by Cambridge University Press:  20 November 2018

Keith Johnson
Keith Johnson*
Affiliation:
Department of Mathematics, Statistics, and Computing Science, Dalhousie University, Halifax, Nova Scotia
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Abstract

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The question of which degree 0 stable cohomology operations for connective K-theory localized at a prime p arise from operations for non-connective K-theory is investigated. A necessary and sufficient condition is established, and an example of a connective operation not arising in this way is constructed.

Keywords

55S25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 246 - 255
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Adams, J.F., Stable Homotopy and Generalized Homology, The University of Chicago Press, Chicago, 1974.Google Scholar
2. Adams, J.F., Lectures on Generalized Cohomology, Lecture notes in Mathematics 99 (1969), pp. 1–138. Springer-Verlag, Berlin-Heidelberg-New York.Google Scholar
3. Adams, J.F., Vector Fields on Spheres, Ann. of Math. 75 (1962), pp. 603–632.Google Scholar
4. Adams, J.F. and Clarke, F., Stable Operations on Complex K-theory, 111. Jour. Math. 21 (1977), pp. 826–829.Google Scholar
5. Adams, J.F., Harris, A.S., and Switzer, R.M., Hopf Algebras of Cooperations for Real and Complex K-theory, J. London Math. Soc. 23 (1971), pp. 385–408.Google Scholar
6. Johnson, K., The Action of the Stable Operations of Complex K-theory on Coefficient Groups, 111. Jour. Math. 28 (1984), pp. 57–63.Google Scholar