2024/10/31 by Moulay-Tahar Benameur, Benameur, Moulay-Tahar, Victor Moulard +1
Computer Science · Mathematics · #Constraint Satisfaction and Optimization #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2411.00182
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.