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arXiv · 2103.16967

The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups

Markus Zeggel
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Abstract

In this article we study a coarse version of the $K$-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.

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Markus Zeggel. 2021-03-31. The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups. https://arxiv.org/abs/2103.16967

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