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2008 On the cooperation algebra of the connective Adams summand
Andrew Baker, Birgit Richter
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Tbilisi Math. J. 1: 33-70 (2008). DOI: 10.32513/tbilisi/1528768823

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

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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

Information

Received: 20 March 2007; Revised: 18 March 2008; Accepted: 1 May 2008; Published: 2008
First available in Project Euclid: 12 June 2018

zbMATH: 1206.55013
MathSciNet: MR2434436
Digital Object Identifier: 10.32513/tbilisi/1528768823

Subjects:
Primary: 55N15, 55P43
Secondary: 18G15, 55N20

Rights: Copyright © 2008 Tbilisi Centre for Mathematical Sciences

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