Coassembly is a homotopy limit map
Algebraic Topology
2020-07-29 v3 K-Theory and Homology
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 -theory agrees with the coassembly map for bivariant -theory that appears in the statement of the topological Riemann-Roch theorem.
Cite
@article{arxiv.1904.05858,
title = {Coassembly is a homotopy limit map},
author = {Cary Malkiewich and Mona Merling},
journal= {arXiv preprint arXiv:1904.05858},
year = {2020}
}
Comments
Accepted version. Several improvements from the referee, including a more elegant proof of Lemma 3.8