Group completion and units in I-spaces

Details Group completion and units in I-spaces Group completion and units in I-spaces

2011-11-28

arxiv.org/abs/1111.6413v2

Mathematics

Algebraic Topology

v2: 42 pages. Added an appendix about topological I-spaces

Scientific paper

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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