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On theKU G-local equivariant sphere

[BGS22] Peter J Bonventre, Bertrand J Guillou, Nathaniel J Stapleton · arXiv 2204.03797

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On the equivariant $KU_G$-local sphere for finite abelian groups

math.AT · 2026-05-28 · unverdicted · novelty 7.0

For finite abelian G with Sylow p-subgroup N_p, the KU_G/p-local sphere equals homotopy fixed points of a p-complete KO_{N_p}-module and a wedge of equivariant Morava K-theory spheres, with computed Z-graded and RO(G)-graded homotopy Mackey functors.

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  • On the equivariant $KU_G$-local sphere for finite abelian groups math.AT · 2026-05-28 · unverdicted · none · ref 2

    For finite abelian G with Sylow p-subgroup N_p, the KU_G/p-local sphere equals homotopy fixed points of a p-complete KO_{N_p}-module and a wedge of equivariant Morava K-theory spheres, with computed Z-graded and RO(G)-graded homotopy Mackey functors.