Johnson, Keith The Conner-Floyd map for formal A-modules. (English) Zbl 0623.55001 Trans. Am. Math. Soc. 302, 319-332 (1987). A generalization of the Conner-Floyd map from complex cobordism to complex K-theory is constructed for formal A-modules. Let BP be the spectrum representing Brown-Peterson cohomology and let E be the Adams summand of complex K-theory. The BP version of the Conner-Floyd map is a map of spectra BP\(\to E\) which induces a natural equivalence \(BP_*X \otimes_{BP_*} E_*\simeq E_*X\). The author describes the corresponding generalization of the map \((BP_*,BP_*BP)\to (E_*,E_*E)\) induced by the Conner-Floyd map and computes the generalization of \(E_*E\). This is employed to confirm a conjecture of Ravenel. Reviewer: Y.Furukawa Cited in 2 ReviewsCited in 1 Document MSC: 55N22 Bordism and cobordism theories and formal group laws in algebraic topology 55T25 Generalized cohomology and spectral sequences in algebraic topology 55P42 Stable homotopy theory, spectra 14L05 Formal groups, \(p\)-divisible groups Keywords:Hopf algebroid; ring of algebraic integers; Conner-Floyd map; formal A- modules; Brown-Peterson cohomology; Adams summand of complex K-theory PDFBibTeX XMLCite \textit{K. Johnson}, Trans. Am. Math. Soc. 302, 319--332 (1987; Zbl 0623.55001) Full Text: DOI