On the KU_G-local equivariant sphere

2022/04/08 by Peter Bonventre, Bertrand Guillou, Bonventre, Peter J. +3
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2204.03797

openalex publication_date 2022/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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