Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]_* = _*(R ? G₊) is finitely generated and projective over _*(R), we construct a multiplicative G-Tate spectral sequence for each R-module X in orthogonal G-spectra, with E²-page given by the Hopf algebra Tate cohomology of R[G]_* with coefficients in _*(X). Under mild hypotheses, such as X being bounded below and the derived page RE vanishing, this spectral sequence converges strongly to the homotopy _*(XtG) of the G-Tate construction X^tG = [EG ? F(EG+, X]^G.

About the Author
Alice Hedenlund, University of Oslo, Norway.

John Rognes, University of Oslo, Norway.


Book Information
ISBN 9781470468781
Author Alice Hedenlund
Format Paperback
Page Count 134
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 118g