arXiv subjects

Markus Zeggel

Publications and source records attributed to Markus Zeggel.

2 recordsLinked to original sources

arXiv2021

The Bounded Isomorphism Conjecture for Spaces of Graphs with Large Girth

In this article we study a coarse version of the K-theoretic Farrell-Jones conjecture we call coarse or bounded isomorphism conjecture. With techniques that have already been used to prove the Farrell-Jones conjecture for hyperbolic groups we are able to verify the bounded isomorphism conjecture for spaces of graphs with large girth and bounded geometry.

math.KT↗

arXiv2021

The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups

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.

math.KT↗