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2011 Units of equivariant ring spectra
Rekha Santhanam
Algebr. Geom. Topol. 11(3): 1361-1403 (2011). DOI: 10.2140/agt.2011.11.1361

Abstract

It is well known that very special Γ–spaces and grouplike E–spaces both model connective spectra. Both these models have equivariant analogues in the case when the group acting is finite. Shimakawa defined the category of equivariant Γ–spaces and showed that special equivariant Γ–spaces determine positive equivariant spectra. Costenoble and Waner [Trans. Amer. Math. Soc. 326 (1991) 485-505] showed that grouplike equivariant E–spaces determine connective equivariant spectra.

We show that with suitable model category structures the category of equivariant Γ–spaces is Quillen equivalent to the category of equivariant E–spaces. We define the units of equivariant ring spectra in terms of equivariant Γ–spaces and show that the units of an equivariant ring spectrum determines a connective equivariant spectrum.

Citation

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Rekha Santhanam. "Units of equivariant ring spectra." Algebr. Geom. Topol. 11 (3) 1361 - 1403, 2011. https://doi.org/10.2140/agt.2011.11.1361

Information

Received: 27 December 2009; Revised: 1 February 2011; Accepted: 21 February 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1227.55014
MathSciNet: MR2821427
Digital Object Identifier: 10.2140/agt.2011.11.1361

Subjects:
Primary: 55P42, 55P91
Secondary: 55P47, 55P48

Rights: Copyright © 2011 Mathematical Sciences Publishers

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