Admissible Higson-Roe sequences for transformation groupoids
Abstract
Given a finitely generated discrete group , we construct for any admissible crossed product completion and for any metrizable finite dimensional compact -space X, a universal Higson-Roe six-term exact sequence for the transformation groupoid X . In particular, we generalize the maximal Higson- Roe sequence to such groupoids. In the case where the groupoid X satisfies the rectified Baum-Connes conjecture, this yields some rigidity consequences.
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