Fixed point adjunctions for equivariant module spectra

Greenlees, J P C; Shipley, Brooke

doi:10.2140/agt.2014.14.1779

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Fixed point adjunctions for equivariant module spectra

J P C Greenlees and Brooke Shipley

Algebraic & Geometric Topology 14 (2014) 1779–1799

DOI: 10.2140/agt.2014.14.1779

Abstract

We consider the Quillen adjunction between fixed points and inflation in the context of equivariant module spectra over equivariant ring spectra, and give numerous examples including some based on geometric fixed points and some on the Eilenberg–Moore spectral sequence.

Keywords

equivariant spectra, fixed points, Quillen adjunction

Mathematical Subject Classification 2010

Primary: 55P42

Secondary: 55N91, 55P91

References

Publication

Received: 16 February 2013

Revised: 23 October 2013

Accepted: 8 November 2013

Published: 29 May 2014

Authors

J P C Greenlees
Department of Pure Mathematics University of Sheffield The Hicks Building Sheffield S3 7RH UK

Brooke Shipley
Department of Mathematics, Statistics and Computer Science University of Illinois at Chicago 508 SEO (m/c 249) 851 South Morgan Street Chicago, IL 60607-7045 USA

Volume 14, issue 3 (2014)