On the Cartan map for crossed products and Hopf-Galois extensions

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dc.creatorArdakov, Konstantin
dc.creatorWadsley, Simon
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:53:15Z
dc.date.available2026-07-07T07:53:15Z
dc.descriptionWe study certain aspects of the algebraic K-theory of Hopf-Galois extensions. We show that the Cartan map from K-theory to G-theory of such an extension is a rational isomorphism, provided the ring of coinvariants is regular, the Hopf algebra is finite dimensional and its Cartan map is injective in degree zero. This covers the case of a crossed product of a regular ring with a finite group and has an application to the study of Iwasawa modules.
dc.identifierhttps://arxiv.org/abs/math/0703664
dc.identifierhttp://arxiv.org/abs/math/0703664
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126185
dc.subjectRepresentation Theory
dc.subjectK-Theory and Homology
dc.subject16E20; 16S35; 16W30
dc.titleOn the Cartan map for crossed products and Hopf-Galois extensions
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