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arXiv · 0908.1092

Diagram spaces, diagram spectra, and spectra of units

John Lind
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Abstract

This article compares the infinite loop spaces associated to symmetric spectra, orthogonal spectra, and EKMM S-modules. Each of these categories of structured spectra has a corresponding category of structured spaces that receives the infinite loop space functor Ω^\infty. We prove that these models for spaces are Quillen equivalent and that the infinite loop space functors Ω^\infty agree. This comparison is then used to show that two different constructions of the spectrum of units gl_1 R of a commutative ring spectrum R agree.

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John Lind. 2012-11-22. Diagram spaces, diagram spectra, and spectra of units. https://doi.org/10.2140/agt.2013.13.1857

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