ar X iv : 0 80 4 . 02 64 v 1 [ m at h . A T ] 1 A pr 2 00 8 A MODEL FOR EQUIVARIANT EILENBERG - MAC LANE SPECTRA
نویسنده
چکیده
Let G be a finite group. For a based G-space X and a Mackey functor M , a topological Mackey functor X e ⊗M is constructed. When X is a based G-CW complex, X e ⊗M is shown to be an infinite loop space in the sense of 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 . The proof uses a structure theorem for Mackey functors and our previous results.
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