Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 15, Number 1 (2013), 191-222.
Continuous homotopy fixed points for Lubin-Tate spectra
We provide a new and conceptually simplified construction of continuous homotopy fixed point spectra for Lubin-Tate spectra under the action of the extended Morava stabilizer group. Moreover, our new construction of a homotopy fixed point spectral sequence converging to the homotopy groups of the homotopy fixed points of Lubin-Tate spectra is isomorphic to an Adams spectral sequence converging to the homotopy groups of the spectra constructed by Devinatz and Hopkins. The new idea is built on the theory of profinite spectra with a continuous action by a profinite group.
Homology Homotopy Appl., Volume 15, Number 1 (2013), 191-222.
First available in Project Euclid: 8 November 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55P43: Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.) 55Q52: Homotopy groups of special spaces 55Q91: Equivariant homotopy groups [See also 19L47] 55T15: Adams spectral sequences
Quick, Gereon. Continuous homotopy fixed points for Lubin-Tate spectra. Homology Homotopy Appl. 15 (2013), no. 1, 191--222. https://projecteuclid.org/euclid.hha/1383943674