The Behavior of Nil-Groups under Localization and the Relative Assembly Map

dc.creatorGrunewald, Joachim
dc.date2006-05-08
dc.date2007-03-28
dc.date.accessioned2026-07-07T07:54:04Z
dc.date.available2026-07-07T07:54:04Z
dc.descriptionWe study the behavior of the Nil-subgroups of K-groups under localization. As a consequence we obtain that the relative assembly map from the family of finite subgroups to the family of virtually cyclic subgroups is rationally an isomorphism. Combined with the equivariant Chern character we obtain a complete computation of the rationalized source of the K-theoretic assembly map in terms of group homology and the K-groups of finite cyclic subgroups.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0605194
dc.identifierhttp://arxiv.org/abs/math/0605194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126461
dc.subjectK-Theory and Homology
dc.subject19D50, 19D35
dc.titleThe Behavior of Nil-Groups under Localization and the Relative Assembly Map
dc.typetext

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