Rigidity in equivariant algebraic K-theory

If $(R, I)$ is a henselian pair with an action of a finite group $G$ and $n \geq 1$ is an integer coprime to $| G |$ such that $n \cdot | G | \in R^{*}$ , then the reduction map of mod- $n$ equivariant $K$ -theory spectra

K^{G} (R) ∕ n \to_{}^{≃} K^{G} (R ∕ I) ∕ n

is an equivalence. We prove this by revisiting the recent proof of nonequivariant rigidity by Clausen, Mathew, and Morrow.

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Keywords

equivariant algebraic $K\mkern-2mu$-theory, rigidity

Mathematical Subject Classification 2010

Primary: 19D99

Milestones

Received: 28 May 2019

Revised: 27 August 2019

Accepted: 23 September 2019

Published: 21 March 2020

Authors

Niko Naumann
NWF I – Mathematik Universität Regensburg Regensburg Germany

Charanya Ravi
NWF I – Mathematik Universität Regensburg Regensburg Germany

Vol. 5, No. 1, 2020

Niko Naumann and Charanya Ravi

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors