Abstract
We compute the homotopy Mackey functors of the \(KU_G\)-local equivariant sphere spectrum when G is a finite q-group for an odd prime q, building on the degree zero case due to Bonventre and the third and fifth authors.
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Acknowledgements
This work began at an NSF RTG-funded workshop held in Lexington, Virginia in August 2022. We would like to thank Julie Bergner, Nick Kuhn, and the other organizers of this workshop. We would also like to thank William Balderrama for numerous helpful discussions.
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Communicated by Anna Marie Bohmann.
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Guillou was supported by NSF grant DMS-2003204. Stapleton was supported by NSF grant DMS-1906236 and a Sloan Fellowship. This collaboration was made possible by NSF RTG grant DMS-1839968.
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Carawan, T.N., Field, R., Guillou, B.J. et al. The homotopy of the \(KU_G\)-local equivariant sphere spectrum. J. Homotopy Relat. Struct. 18, 543–561 (2023). https://doi.org/10.1007/s40062-023-00336-z
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DOI: https://doi.org/10.1007/s40062-023-00336-z