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Coassembly is a homotopy
limit map
Cary Malkiewich and Mona Merling |
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Vol. 5 (2020), No. 3, 373–394
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Abstract |
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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 -theory agrees with the coassembly map for bivariant -theory that appears in the statement of the topological Riemann–Roch theorem. |
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In memory of Bruce Williams |
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Keywords
coassembly, $A$-theory, equivariant $A$-theory, homotopy
limit, bivariant $A$-theory
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Mathematical Subject Classification 2010
Primary: 19D10, 55P42, 55P91
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Milestones
Received: 16 May 2019
Revised: 29 January 2020
Accepted: 15 February 2020
Published: 28 July 2020
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Authors |
| Cary Malkiewich | |
| Department of Mathematics Binghamton University Binghamton, NY United States |
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| Mona Merling | |
| Department of Mathematics University of Pennsylvania Phialdelphia, PA United States |
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