Algebraic Morava K-theories

For any prime q and positive integer t, we construct a spectrum k(t) in the stable homotopy category of schemes over a field k equipped with an embedding k↪ℂ. In classical homotopy theory, the ℂ realization of k(t) is known as Morava K-theory. The algebraic content lies in the fact that these spectra are defined as the homotopy limit of a tower whose cofibers are appropriate suspensions of the motivic Eilenberg-MacLane spectra, which are known to represent motivic cohomology in the stable homotopy category of schemes.

Authors and Affiliations

1. Institute des Hautes Etudes Scientifiques, Le Bois-Marie, 35, route de Chartres, F-91440 Bures-sur-Yvette, France, France

   Simone Borghesi

Oblatum 26-XI-2001 & 5-VIII-2002¶Published online: 8 November 2002

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