Ring Spectra via Space - Level Homotopy Theory
نویسنده
چکیده
Our main goal in this chapter is to show that the spectrum KU representing periodic complex K-theory has an H~ structure. The existence of such a structure is important since it will allow us to develop a complete theory of Dyer-Lashof operations in K-theory, including the computation of K,(O3(); this program is carried out in chapter IX. Of course, we already know that the connective spectrum kU has an H structure since it has an E~ structure by [71, VIII. 2.1]. However, it is not known whether KU has an E structure, and the distinction between kU and KU is crucial for our work in chapter IX. We therefore require a new method for constructing H® ring spectra.
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