Naive-commutative structure on rational equivariant $K$-theory for abelian groups

Autor:	Bohmann, Anna Marie, Hazel, Christy, Ishak, Jocelyne, Kędziorek, Magdalena, May, Clover
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Topology 55P91 (Primary) 55P62 19L47 55P43 (Secondary)
Zdroj:	Topology Appl. 316 (2022), Paper No. 108100, 18 pp
Druh dokumentu:	Working Paper
DOI:	10.1016/j.topol.2022.108100
Popis:	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 K\k{e}dziorek 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. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.01556 Zobrazit plný text záznamu View this record from Arxiv