Recognizing Hopf algebroids defined by a group action |
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Authors: | Ethan S Devinatz |
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Institution: | Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195, USA |
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Abstract: | Let A be a complete noetherian regular local ring, and suppose that S is a profinite group acting continuously on A via ring homomorphisms. Let Γ=Mapc(S,A), the algebra of continuous functions from S to A. Then (A,Γ) has a canonical structure of a complete Hopf algebroid, determined by the action of S on A. We give necessary and sufficient conditions for a general complete Hopf algebroid to be of this form. Applications to Morava theory are also discussed. |
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Keywords: | 14H55 30F50 |
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