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Greenlees, John (Ed.)Let G be a finite group. We give Quillen equivalent models for the category of G–spectra as categories of spectrally enriched functors from explicitly described domain categories to nonequivariant spectra. Our preferred model is based on equivariant infinite loop space theory applied to elementary categorical data. It recasts equivariant stable homotopy theory in terms of point–set-level categories of G–spans and nonequivariant spectra. We also give a more topologically grounded model based on equivariant Atiyah duality.more » « less
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Lindenstrauss, Ayelet; Richter, Birgit (, Homology homotopy and applications)Greenlees, John (Ed.)We study the question for which commutative ring spectra A the tensor of a simplicial set X with A, X ⊗ A, is a stable invariant in the sense that it depends only on the homotopy type of ΣX. We prove several structural properties about different notions of stability, corresponding to different levels of invariance required of X ⊗ A. We establish stability in important cases, such as complex and real periodic topological K-theory, KU and KO.more » « less
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