The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups
K-Theory and Homology
2021-04-01 v1
Abstract
In this article we study a coarse version of the -theoretic Farrell--Jones conjecture we call coarse or bounded isomorphism conjecture. Using controlled category theory we are able to translate this conjecture for asymptotically faithful covers into a more familiar form. This allows us to prove the conjecture for box spaces of residually finite groups whose Farrell--Jones assembly map with coefficients is an isomorphism.
Keywords
Cite
@article{arxiv.2103.16967,
title = {The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups},
author = {Markus Zeggel},
journal= {arXiv preprint arXiv:2103.16967},
year = {2021}
}
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24 pages