Abstract
The aim of this paper is to gain explicit information about the multiplicative structure of $\ell_*\ell$, where $\ell$ is the connective Adams summand at an odd prime $p$. Our approach differs from Kane's or Lellmann's because our main technical tool is the $MU$-based Künneth spectral sequence. We prove that the algebra structure on $\ell_*\ell$ is inherited from the multiplication on a Koszul resolution of $\ell_*BP$.
Acknowledgment
We would like to thank Iain Gordon, John Rognes, Steffen Sagave and Sarah White-house for their comments. We also thank the referee for his/her many detailed and helpful remarks. The first author was supported by the Max-Planck Institute for Mathematics, Bonn, and the Yngre Femregande Forskere (YFF) of the Norwegian Research Council; the second author was supported by the Strategisk Universitetsprogram i Ren Matematikk (SUPREMA) of the Norwegian Research Council. We also thank the Universities of Bern, Bonn, and Oslo for their hospitality.
Citation
Andrew Baker. Birgit Richter. "On the cooperation algebra of the connective Adams summand." Tbilisi Math. J. 1 33 - 70, 2008. https://doi.org/10.32513/tbilisi/1528768823
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