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Bibliographic Details
Main Authors: Benameur, Moulay-Tahar, Moulard, Victor
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.00182
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Table of Contents:
  • Given a finitely generated discrete group Γ, we construct for any admissible crossed product completion and for any metrizable finite dimensional compact Γ-space X, a universal Higson-Roe six-term exact sequence for the transformation groupoid X\rtimes Γ. In particular, we generalize the maximal Higson- Roe sequence to such groupoids. In the case where the groupoid X\rtimes Γ satisfies the rectified Baum-Connes conjecture, this yields some rigidity consequences.