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arXiv · 2204.03797

On the $KU_G$-local equivariant sphere

Peter J. Bonventre·Bertrand J. Guillou·Nathaniel J. Stapleton
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Abstract

Equivariant complex $K$-theory and the equivariant sphere spectrum are two of the most fundamental equivariant spectra. For an odd $p$-group, we calculate the zeroth homotopy Green functor of the localization of the equivariant sphere spectrum with respect to equivariant complex $K$-theory. Further, we calculate the zeroth homotopy Tambara functor structure in the case of odd cyclic $p$-groups.

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Peter J. Bonventre, Bertrand J. Guillou, Nathaniel J. Stapleton. 2022-04-08. On the $KU_G$-local equivariant sphere. https://arxiv.org/abs/2204.03797

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