The Hopf rings for KO and KU

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• 作者：Cowen Morton ; Dena S. ; Strickland ; Neil
• 关键词：55N15 ; 55P43
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2002
• 出版时间：January 24, 2002
• 年：2002
• 卷：166
• 期：3
• 页码：247-265
• 全文大小：156 K

文摘

In this work we compute the Hopf rings for the spectra representing orthogonal and unitary K-theory, KO and KU. Specifically, we use Hopf ring properties to find and simplify the ordinary mod2 homology groups for these spectra. Our main tool is the bar spectral sequence, which allows us to advance from one space to the next in the spectrum.