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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.
In memory of Bruce Williams
Keywords
coassembly, $A$-theory, equivariant $A$-theory, homotopy
limit, bivariant $A$-theory
Mathematical Subject Classification 2010
Primary: 19D10, 55P42, 55P91
Milestones
Received: 16 May 2019
Revised: 29 January 2020
Accepted: 15 February 2020
Published: 28 July 2020