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math.KT2021
Coarse geometry of Hecke pairs and the Baum-Connes conjecture
Clément Dell'Aiera
We study Hecke pairs using the coarse geometry of their coset space and their Schlichting completion. We prove new stability results for the Baum-Connes and the Novikov conjectures…
math.OA2021
Dynamic asymptotic dimension and Matui's HK conjecture
Christian Bönicke, Clément Dell'Aiera, James Gabe +1
We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side-effect of our methods,…