$Γ$-cohomology of rings of numerical polynomials and $E_\infty$ structures on K-theory
| dc.creator | Baker, Andrew | |
| dc.creator | Richter, Birgit | |
| dc.date | 2003-04-29 | |
| dc.date | 2005-04-25 | |
| dc.date.accessioned | 2026-07-07T04:57:34Z | |
| dc.date.available | 2026-07-07T04:57:34Z | |
| dc.description | We investigate Gamma-cohomology of some commutative cooperation algebras E_*E associated with certain periodic cohomology theories. For KU and E(1), the Adams summand at a prime p, and for KO we show that Gamma-cohomology vanishes above degree 1. As these cohomology groups are the obstruction groups in the obstruction theory developed by Alan Robinson we deduce that these spectra admit unique E infinity structures. As a consequence we obtain an E infinity structure for the connective Adams summand. For the Johnson-Wilson spectrum E(n) with n > 0 we establish the existence of a unique E infinity structure for its I_n-adic completion. | |
| dc.description | Revised version, to appear in Commentarii Math. Helv | |
| dc.identifier | https://arxiv.org/abs/math/0304473 | |
| dc.identifier | http://arxiv.org/abs/math/0304473 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67303 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Primary 55P43, 55N15; Secondary 13D03 | |
| dc.title | $Γ$-cohomology of rings of numerical polynomials and $E_\infty$ structures on K-theory | |
| dc.type | text |