Volume 15, issue 1 (2015)

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

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

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
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Constructing equivariant spectra via categorical Mackey functors

Anna Marie Bohmann and Angélica Osorno

Algebraic & Geometric Topology 15 (2015) 537–563
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