Naive-commutative structure on rational equivariant K-theory for abelian groups
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3051736Utgivelsesdato
2022Metadata
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- Institutt for matematiske fag [2531]
- Publikasjoner fra CRIStin - NTNU [38687]
Originalversjon
10.1016/j.topol.2022.108100Sammendrag
In this paper, we calculate the image of the connective and periodic rational equivariant complex K-theory spectrum in the algebraic model for naive-commutative ring G-spectra given by Barnes, Greenlees and Kędziorek for finite abelian G. Our calculations show that these spectra are unique as naive-commutative ring spectra in the sense that they are determined up to weak equivalence by their homotopy groups. We further deduce a structure theorem for module spectra over rational equivariant complex K-theory.