On the $KU_G$-local equivariant sphere
Algebraic Topology
2022-04-27 v2
Abstract
Equivariant complex -theory and the equivariant sphere spectrum are two of the most fundamental equivariant spectra. For an odd -group, we calculate the zeroth homotopy Green functor of the localization of the equivariant sphere spectrum with respect to equivariant complex -theory. Further, we calculate the zeroth homotopy Tambara functor structure in the case of odd cyclic -groups.
Cite
@article{arxiv.2204.03797,
title = {On the $KU_G$-local equivariant sphere},
author = {Peter J. Bonventre and Bertrand J. Guillou and Nathaniel J. Stapleton},
journal= {arXiv preprint arXiv:2204.03797},
year = {2022}
}
Comments
Version 2. Added the Tambara structure for cyclic groups, following a suggestion of William Balderrama