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OverviewGiven a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = π*(R ? G+) is finitely generated and projective over π*(R), we construct a multiplicative G-Tate spectral sequence for each R-module X in orthogonal G-spectra, with E2-page given by the Hopf algebra Tate cohomology of R[G]* with coefficients in π*(X). Under mild hypotheses, such as X being bounded below and the derived page RE∞ vanishing, this spectral sequence converges strongly to the homotopy π*(XtG) of the G-Tate construction XtG = [EG ? F(EG+, X]G. Full Product DetailsAuthor: Alice Hedenlund , John RognesPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: Volume: 294 Number: 1468 ISBN: 9781470468781ISBN 10: 1470468786 Pages: 134 Publication Date: 31 May 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Introduction 2. Tate Cohomology for Hopf Algebras 3. Homotopy Groups of Orthogonal $G$-Spectra 4. Sequences of Spectra and Spectral Sequences 5. The $G$-Homotopy Fixed Point Spectral Sequence 6. The $G$-Tate Spectral SequenceReviewsAuthor InformationAlice Hedenlund, University of Oslo, Norway. John Rognes, University of Oslo, Norway. Tab Content 6Author Website:Countries AvailableAll regions |
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