Equivariant loops on classifying spaces
K-Theory and Homology
2020-11-11 v1 Algebraic Topology
Abstract
We compute the homology of the space of equivariant loops on the classifying space of a simplicial monoid with anti-involution, provided is central in the homology ring of . The proof is similar to McDuff and Segal's proof of the group completion theorem. Then we compute the homology of the -fixed points of a Segal-type model of the algebraic -theory of an additive category with duality. As an application we show that this fixed point space is sometimes group complete, but not in general.
Cite
@article{arxiv.1303.4528,
title = {Equivariant loops on classifying spaces},
author = {Kristian Jonsson Moi},
journal= {arXiv preprint arXiv:1303.4528},
year = {2020}
}