On the Γ-cohomology of rings of numerical polynomials and e ∞ structures on K-theory

Link:
Autor/in:
Erscheinungsjahr:
2005
Medientyp:
Text
Schlagworte:
  • Johnson-Wilson spectra
  • K-theory
  • Structured ring spectra
  • Γ-cohomology
Beschreibung:
  • We investigate Γ-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 Γ-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∞ structures. As a consequence we obtain an E∞ structure for the connective Adams summand. For the Johnson-Wilson spectrum E(n) with n ≥ 1 we establish the existence of a unique E ∞ structure for its In-adic completion. © Swiss Mathematical Society.
Lizenz:
  • info:eu-repo/semantics/openAccess
Quellsystem:
Forschungsinformationssystem der UHH
Interne Metadaten
Quelldatensatz
oai:www.edit.fis.uni-hamburg.de:publications/bb0755a7-ee1d-4b4d-aac9-63a0a84583f6