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Proceedings of the London Mathematical Society (1)

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EQUIVARIANT UNIVERSAL COEFFICIENT AND KÜNNETH SPECTRAL SEQUENCES
L. GAUNCE LEWIS, MICHAEL A. MANDELL
Journal:

Proceedings of the London Mathematical Society / Volume 92 / Issue 2 / March 2006

Published online by Cambridge University Press:

20 February 2006, pp. 505-544

Print publication:

March 2006
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This paper constructs hyper-homology spectral sequences of $\mathbb{Z}$-graded and $RO_{G}$-graded Mackey functors that compute $\mathrm{Ext}$ and $\mathrm{Tor}$ over $G$-equivariant $S$-algebras ($A_{\infty}$ ring spectra) for finite groups $G$. These specialize to universal coefficient and K\"unneth spectral sequences.