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arxiv: 1004.1941 · v1 · submitted 2010-04-12 · 🧮 math.KT · math.AT

From acyclic groups to the bass conjecture for amenable groups

classification 🧮 math.KT math.AT
keywords conjecturegroupsbassamenableacyclicassemblybostcountable
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We prove that the Bost Conjecture on the $\ell^1$-assembly map for countable discrete groups implies the Bass Conjecture. It follows that all amenable groups satisfy the Bass Conjecture.

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