Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T18:26:46.893Z Has data issue: false hasContentIssue false

The invariant subalgebra and anti-invariant submodule of K*K(p)

Published online by Cambridge University Press:  12 May 2008

Keith Johnson
Affiliation:
johnson@mscs.dal.caDalhousie University, Halifax, Nova Scotia, B3H 4R2, Canada
Get access

Abstract

Bases are constructed for the homogeneous components of the invariant subalgebra and anti-invariant submodule of the algebra K*K(p) of cooperations for p-local complex K-theory.

Type
Research Article
Copyright
Copyright © ISOPP 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

A.Adams, J. F., On the Groups J(X),I, II, III and IV, Topology 2 (1963), 181195, Topology 3 (1965), 131171, Topology 3 (1965) 193222, Topology 5 (1966) 2171Google Scholar
A2.Adams, J. F., Stable Homotopy and Generalized Homology, University of Chicago Press, Chicago, Ill., 1974Google Scholar
AC.Adams, J. F., F., Clarke, Stable Operations on Complex K-theory Ill. J. Math., 21 (1977), 826829Google Scholar
AHS.Adams, J.F., Harris, A.S., Switzer, R.M., Hopf Algebras of Co-operations for Real and Complex K-theory, Proc. LMS (3) 23 (1971), 385408Google Scholar
Am.Amice, Y., Interpolation p-adique, Bull. Soc. Math. Fr., 92 (1964), 117180CrossRefGoogle Scholar
B.Bhargava, M., P-orderings and Polynomial Functions on Arbitrary Subsets of Dedekind Rings, J. Reine Angew. Math. 490 (1997) 101127Google Scholar
B2.Bhargava, M., The Factorial Function and Generalizations, Am. Math. Monthly 107 (2000), 783799CrossRefGoogle Scholar
CC.Cahen, P-J.Chabert, J-L.,Integer-Valued Polynomials, Math. Surveys and Monographs v.48, Amer. Math. Soc., Providence, RI, 1997Google Scholar
CCW.Clarke, F.Crossley, M.D., Whitehouse, S., Bases for Co-operations in K-theory, K-Theory 23 (2001), 237250Google Scholar
H.Helsmoortel, E.Module de Continuité de Polynômes d'Interpolation. Application à l'étude du comportement local des functions continues sur un compact régulier d'un corps local, C.R. Acad. Sci. Paris 268 (1969), 11681171Google Scholar
J.Johnson, K., The Action of the Stable Operations of Complex K-Theory on Coefficients Groups, Illinois J. Math. 28 (1984), 5763Google Scholar
S.Switzer, R. M., Algebraic Topology – Homotopy and Homology, Die Grundlehren der mathematischen Wissenschaften, Band 212, Springer-Verlag, Berlin-New York, 1975Google Scholar