Abstract
Segal’s Γ-spaces are introduced as a slight generalization of abelian groups. Though a seemingly minor generalization, this category encompasses a wide and exotic variety of new objects. In particular, the text will primarily use Γ-spaces to model spectra and strictly associative ring spectra.
The chapter begins with a gentle introduction to the algebraic properties before moving on to the homotopy theoretical properties of Γ-spaces. The chapter finishes with a discussion of how algebraic K-theory naturally leads to Γ-spaces.
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Dundas, B.I., Goodwillie, T.G., McCarthy, R. (2013). Gamma-Spaces and S-Algebras. In: The Local Structure of Algebraic K-Theory. Algebra and Applications, vol 18. Springer, London. https://doi.org/10.1007/978-1-4471-4393-2_2
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DOI: https://doi.org/10.1007/978-1-4471-4393-2_2
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