Permutative G-categories in equivariant infinite loop space theory
Year: 2012
Type: preprint
Abstract: We explain what genuine permutative G-categories are and, more generally, what E infinity G-categories are. We give examples showing how they arise, and we show that they serve as input for an equivariant infinite loop space machine. As a first application, we prove the equivariant Barratt-Priddy-Quillen theorem as a statement about genuine G-spectra and use it to give a new, categorical, proof of the tom Dieck splitting theorem for suspension G-spectra. Other examples are geared towards equivariant algebraic K-theory.
Source: arXiv (Cornell University)
Authors: Bertrand Guillou, J. P. May
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2218576305