Translator Disclaimer
2020 Coassembly is a homotopy limit map
Cary Malkiewich, Mona Merling
Ann. K-Theory 5(3): 373-394 (2020). DOI: 10.2140/akt.2020.5.373

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.

Citation

Download Citation

Cary Malkiewich. Mona Merling. "Coassembly is a homotopy limit map." Ann. K-Theory 5 (3) 373 - 394, 2020. https://doi.org/10.2140/akt.2020.5.373

Information

Received: 16 May 2019; Revised: 29 January 2020; Accepted: 15 February 2020; Published: 2020
First available in Project Euclid: 11 August 2020

zbMATH: 07237236
MathSciNet: MR4132741
Digital Object Identifier: 10.2140/akt.2020.5.373

Subjects:
Primary: 19D10 , 55P42 , 55P91

Keywords: $A$-theory , bivariant $A$-theory , coassembly , equivariant $A$-theory , homotopy limit

Rights: Copyright © 2020 Mathematical Sciences Publishers

JOURNAL ARTICLE
22 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.5 • No. 3 • 2020
MSP
Back to Top