A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions

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 π_*(X).
Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]_* = π_*(R ? G₊) is finitely generated and projective over π_*(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 π_*(X). Under mild hypotheses, such as X being bounded below and the derived page RE∞ vanishing, this spectral sequence converges strongly to the homotopy π_*(XtG) of the G-Tate construction X^tG = [EG ? F(EG+, X]^G.

UK Delivery:

• Free delivery on all orders of £10 or more.
• £1.49 delivery fee on orders below £10.
• UK orders are shipped via Royal Mail 2nd Class.

International Delivery:

• Flat rate delivery charges vary by country.

Dispatch and Delivery Times:

• All orders are shipped from our warehouse in Northampton, UK within 48 hours of receipt during working hours.
• UK mainland orders typically arrive within 3-5 working days via Royal Mail 2nd Class.
• International estimated delivery times:
• Europe & Channel Islands: 7 to 10 working days
• USA: 7 to 15 working days
• Rest of the World: 9 to 21 working days

View our full delivery infomation here.