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D. Ravenel, Stephen Wilson, Stephen Wilson (1980)
THE MORAVA K-THEORIES OF EILENBERG-MACLANE SPACES AND THE CONNER-FLOYD CONJECTUREAmerican Journal of Mathematics, 102
J. Boardman (1995)
Stable Operations in Generalized Cohomology
D. Ravenel, Stephen Wilson (1974)
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W. Wilson (1984)
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Jack Morava (1979)
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R. Thomason, W. Wilson (1980)
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Abstract. Let Knà À denote the n-th periodic Morava K-theory for any ®xed odd prime p. Let kn à denote the -spectrum of the n-th connective Morava K-theory. We compute the Hopf ring Knà kn à . 1991 Mathematics Subject Classi®cation: 55N20. 1. Introduction Let p be any odd prime, ®xed for the duration of this article. Let Kn be the spectrum of the periodic (of period 2 p n À 1) n-th Morava K-theory and let kn be the spectrum of the connective n-th Morava K-theory. Morava K-theory was ®rst de®ned and studied by Jack Morava in numerous unpublished preprints. Both Kn and kn are commutative, associative, ring spectra with unit. The coe½cient rings Kn à and kn à are Fp vn Y vÀ1 and Fp vn , respectively, where the degree jvn j of vn is n 2 p n À 1 and Fp is the p-element ®eld. See [JW75] for an early published account of some of Morava's work. There is a canonical map of ring spectra kn 3 Kn. Recall that Knà X vÀ1 knà X knà X nknà Kn à . The map knà X 3 Knà X induced by the above n
Forum Mathematicum – de Gruyter
Published: Nov 1, 1999
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