Completions of Ζ/(p)-Tate cohomology of periodic spectra

Matthew Ando, Jack Morava, Hal Sadofsky

Research output: Contribution to journalArticlepeer-review


We construct splittings of some completions of the Ζ/(p)-Tate cohomology of E(n) and some related spectra. In particular, we split (a completion of) tE(n) as a (completion of) a wedge of E(n-1)'s as a spectrum, where t is shorthand for the fixed points of the Ζ/(p)-Tate cohomology spectrum (ie the Mahowald inverse limit lim←k (P-k Λ ΣE(n))). We also give a multiplicative splitting of tE(n) after a suitable base extension.

Original languageEnglish (US)
Pages (from-to)145-174
Number of pages30
JournalGeometry and Topology
StatePublished - 1998
Externally publishedYes


  • Formal groups
  • Periodicity
  • Root invariant
  • Tate cohomology

ASJC Scopus subject areas

  • Geometry and Topology


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