Download this article
Download this article For screen
For printing
Recent Issues

Volume 23
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
$G_\infty$–ring spectra and Moore spectra for $\beta$–rings

Michael Stahlhauer

Algebraic & Geometric Topology 23 (2023) 87–153
Abstract

We introduce the notion of G–ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations on their equivariant homotopy and cohomology groups. We illustrate this structure by analyzing when a Moore spectrum can be endowed with a G–ring structure. Such G–structures correspond to power operations on the underlying ring, indexed by the Burnside ring. We exhibit a close relation between these globally equivariant power operations and the structure of a β–ring, thus providing a new perspective on the theory of β–rings.

Keywords
structured ring spectra, equivariant homotopy theory, beta-rings, power operations
Mathematical Subject Classification
Primary: 55P43, 55P91
Secondary: 18C15, 19A22, 55S91
References
Publication
Received: 22 September 2020
Revised: 22 July 2021
Accepted: 3 November 2021
Published: 27 March 2023
Authors
Michael Stahlhauer
Max Planck Institute for Mathematics
Bonn
Germany
https://guests.mpim-bonn.mpg.de/stahlhauer/

Open Access made possible by participating institutions via Subscribe to Open.