Rigidity in equivariant algebraic $K$theory
Abstract
If $(R,I)$ is a henselian pair with an action of a finite group $G$ and $n\ge 1$ is an integer coprime to $G$ and such that $n\cdot G\in R^*$, then the reduction map of mod$n$ equivariant $K$theory spectra \[ K^G(R)/n\stackrel{\simeq}{\longrightarrow} K^G(R/I)/n\] is an equivalence. We prove this by revisiting the recent proof of nonequivariant rigidity by Clausen, Mathew, and Morrow.
 Publication:

arXiv eprints
 Pub Date:
 May 2019
 arXiv:
 arXiv:1905.03102
 Bibcode:
 2019arXiv190503102N
 Keywords:

 Mathematics  KTheory and Homology
 EPrint:
 Ann. KTh. 5 (2020) 141158