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Galois extensions of structured ring spectra. Stably dualizable groups

Galois extensions of structured ring spectra. Stably dualizable groups

We introduce the notion of a Galois extension of commutative S-algebras (E ∞ ring spectra), often localized with respect to a fixed homology theory.There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings, real and complex topological K-theory, Lubin-Tate spectra and cochain S-algebras.We establish the main theorem …