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 give an analogous computation of the homology of the –fixed points of a –space-type delooping of an additive category with duality with respect to the sign circle. As an application we show that this fixed-point space is sometimes group complete, but in general not.
Citation
Kristian Jonsson Moi. "Equivariant loops on classifying spaces." Algebr. Geom. Topol. 20 (5) 2511 - 2552, 2020. https://doi.org/10.2140/agt.2020.20.2511
Information