9 M ay 2 00 7 Inheritance of Isomorphism Conjectures un - der colimits Arthur Bartels , Siegfried Echterhoff and Wolfgang Lück
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چکیده
We investigate when Isomorphism Conjectures, such as the ones due to BaumConnes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessarily injective structure maps). We show in particular that both the K-theoretic Farrell-Jones Conjecture and the Bost Conjecture with coefficients hold for those groups for which Higson, Lafforgue and Skandalis have disproved the Baum-Connes Conjecture with coefficients. keywords: Bost Conjecture, inheritance under colimits. AMS-classification: 19K99, 18F25, 55N91.
منابع مشابه
Inheritance of Isomorphism Conjectures under colimits
We investigate when Isomorphism Conjectures, such as the ones due to Baum-Connes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessarily injective structure maps). We show in particular that both the K-theoretic Farrell-Jones Conjecture and the Bost Conjecture with coefficients hold for those groups for which Higson, Lafforgue and Skandalis have dis...
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تاریخ انتشار 2007