Homotopy idempotents on manifolds and Bass' conjectures

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The Bass trace conjectures are placed in the setting of homotopy idempotent selfmaps of manifolds. For the strong conjecture, this is achieved via a formulation of Geoghegan. The weaker form of the conjecture is reformulated as a comparison of ordinary and L^2-Lefschetz numbers.
This is the version published by Geometry & Topology Monographs on 29 January 2007

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