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

Details Completions of Z/(p)-Tate cohomology of periodic spectra Completions of Z/(p)-Tate cohomology of periodic spectra

1998-08-17

arxiv.org/abs/math/9808141v1

Geom. Topol. 2 (1998), 145-174

Mathematics

Algebraic Topology

30 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper8.abs.html

Scientific paper

We construct splittings of some completions of the Z/(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 Z/(p)-Tate cohomology spectrum (ie Mahowald's inverse limit of P_{-k} smash SE(n)). We also give a multiplicative splitting of tE(n) after a suitable base extension.

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