Constructing equivariant spectra via categorical Mackey functors

Bohmann, Anna Marie; Osorno, Angélica

doi:10.2140/agt.2015.15.537

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Constructing equivariant spectra via categorical Mackey functors

Anna Marie Bohmann and Angélica Osorno

Algebraic & Geometric Topology 15 (2015) 537–563

DOI: 10.2140/agt.2015.15.537

Abstract

We give a functorial construction of equivariant spectra from a generalized version of Mackey functors in categories. This construction relies on the recent description of the category of equivariant spectra due to Guillou and May. The key element of our construction is a spectrally enriched functor from a spectrally enriched version of permutative categories to the category of spectra that is built using an appropriate version of $K$ –theory. As applications of our general construction, we produce a new functorial construction of equivariant Eilenberg–Mac Lane spectra for Mackey functors and for suspension spectra for finite $G$ –sets.

Keywords

equivariant stable homotopy theory, equivariant spectra, Mackey functors, permutative categories

Mathematical Subject Classification 2010

Primary: 55P42, 55P91

Secondary: 18D20

References

Publication

Received: 16 June 2014

Revised: 4 August 2014

Accepted: 9 August 2014

Published: 23 March 2015

Authors

Anna Marie Bohmann
Department of Mathematics Northwestern University Evanston, IL 60208 USA

Angélica Osorno
Department of Mathematics Reed College Portland, OR 97202 USA

Volume 15, issue 1 (2015)