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.

PDF Access Denied

We have not been able to recognize your IP address 18.223.238.38 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

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