Power operations in K-theory completed at a prime

Baker, A. (2020) Power operations in K-theory completed at a prime. Tbilisi Mathematical Journal(Spec 6), pp. 33-49.

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We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p for K-theory at a prime p, and K^0KO = K0(KO)^2. These results are used to identify the K(1)-local homotopy type of some E∞ ring spectra obtained by killing elements of Hopf invariant 1.

Item Type:Articles
Additional Information:Special issue on Homotopy Theory, Spectra and Sstructured Ring Spectra.
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Geometry & Topology
Journal Name:Tbilisi Mathematical Journal
Publisher:Tbilisi Centre for Mathematical Sciences
ISSN (Online):1512-0139
Copyright Holders:Copyright © 2020 Tbilisi Centre for Mathematical Sciences
First Published:First published in Tbilisi Mathematical Journal Special Issue 6: 33-39
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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