Gross-Hopkins duality and the Gorenstein condition

Authors

W. G. Dwyer, University of Notre DameFollow
J. P. C. GreenleesFollow
S. B. Iyengar, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

2009

Citation

J. K-Theory 8 (2011), 107–133; doi:10.1017/is010008025jkt129

Comments

Copyright © 2010 ISOPP. Used by permission.

Abstract

Gross and Hopkins have proved that in chromatic stable homotopy, Spanier- Whitehead duality nearly coincides with Brown-Comenetz duality. We give a conceptual interpretation of this phenomenon in terms of a Gorenstein condition [8] for maps of ring spectra.