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Comparison of Karoubi's regulator and the p-adic Borel regulator

Published online by Cambridge University Press:  04 November 2011

Georg Tamme
Georg Tamme
Affiliation:
California Institute of Technology, Department of Mathematics, MC 253-37, 1200 East California Boulevard, Pasadena CA 91125, USAgeorg.tamme@ur.de
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Abstract

In this paper we prove the p-adic analogue of a result of Hamida [11], namely that the p-adic Borel regulator introduced by Huber and Kings for the K-theory of a p-adic number field equals Karoubi's p-adic regulator up to an explicit rational factor.

Keywords

p-adic regulatorrelative Chern characterKaroubi's regulatorlocal fieldLazard isomorphism

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Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 3 , June 2012 , pp. 579 - 600
Copyright
Copyright © ISOPP 2011

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