Homology, Homotopy and Applications

Volume 15 (2013)

Number 1

Profinite $G$-spectra

Pages: 151 – 189

DOI: http://dx.doi.org/10.4310/HHA.2013.v15.n1.a9

Author

Gereon Quick (Department of Mathematics, Harvard University, Cambridge, Mass., U.S.A.)

Abstract

We construct a stable model structure on profinite spectra with a continuous action of an arbitrary profinite group. The motivation is to provide a natural framework in a subsequent paper for a new and conceptually simplified construction of continuous homotopy fixed point spectra and of continuous homotopy fixed point spectral sequences for Lubin-Tate spectra under the action of the extended Morava stabilizer group.

Keywords

profinite space, profinite spectrum, continuous group action, profinite homotopy type

2010 Mathematics Subject Classification

55P43, 55Q70, 55Q91

Full Text (PDF format)