A model for equivariant Eilenberg-Mac Lane spectra

Details A model for equivariant Eilenberg-Mac Lane spectra A model for equivariant Eilenberg-Mac Lane spectra

2008-04-01

arxiv.org/abs/0804.0264v1

Mathematics

Algebraic Topology

Scientific paper

Let $G$ be a finite group. For a based $G$-space $X$ and a Mackey functor $M$, a topological Mackey functor $X\hat\otimes M$ is constructed. When $X$ is a based $G$-CW complex, $X\hat\otimes M$ is shown to be an infinite loop space in the sense of ${\mathcal G}$-spaces. This gives a version of the $RO(G)$-graded equivariant Dold-Thom theorem. Applying a variant of Elmendorf's construction, we get a model for the Eilenberg-Mac Lane spectrum $HM$.

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