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arXiv · 1111.6413

Group completion and units in I-spaces

Steffen Sagave·Christian Schlichtkrull
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Abstract

The category of I-spaces is the diagram category of spaces indexed by finite sets and injections. This is a symmetric monoidal category whose commutative monoids model all E-infinity spaces. Working in the category of I-spaces enables us to simplify and strengthen previous work on group completion and units of E-infinity spaces. As an application we clarify the relation to Gamma-spaces and show how the spectrum of units associated with a commutative symmetric ring spectrum arises through a chain of Quillen adjunctions.

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Steffen Sagave, Christian Schlichtkrull. 2012-10-26. Group completion and units in I-spaces. https://doi.org/10.2140/agt.2013.13.625

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