Homology, Homotopy and Applications
Volume 15 (2013)
Pages: 151 – 189
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.
profinite space, profinite spectrum, continuous group action, profinite homotopy type
2010 Mathematics Subject Classification
55P43, 55Q70, 55Q91