Coassembly is a homotopy limit map

Abstract

We prove a claim by Williams that the coassembly map is a homotopy limit map. As an application, we show that the homotopy limit map for the coarse version of equivariant $A$-theory agrees with the coassembly map for bivariant $A$-theory that appears in the statement of the topological Riemann-Roch theorem.

arXiv commentAccepted version. Several improvements from the referee, including a more elegant proof of Lemma 3.8

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