Rational ℤp–equivariant spectra

Barnes, David

doi:10.2140/agt.2011.11.2107

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Rational $\mathbb{Z}_p$–equivariant spectra

David Barnes

Algebraic & Geometric Topology 11 (2011) 2107–2135

DOI: 10.2140/agt.2011.11.2107

Abstract

We find a simple algebraic model for rational $ℤ_{p}$ –equivariant spectra, via a series of Quillen equivalences. This model, along with an Adams short exact sequence, will allow us to easily perform constructions and calculations.

Keywords

equivariant spectra, rational spectra, cohomology, model categories

Mathematical Subject Classification 2010

Primary: 55N91, 55P42

References

Publication

Received: 12 December 2010

Revised: 6 May 2011

Accepted: 12 June 2011

Published: 25 July 2011

Authors

David Barnes
School of Mathematics and Statistics University of Sheffield Hicks Building Hounsfield Road Sheffield South Yorkshire S3 7RH United Kingdom
http://david-barnes.staff.shef.ac.uk/

Volume 11, issue 4 (2011)