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arXiv · 2411.00182

Admissible Higson-Roe sequences for transformation groupoids

Moulay-Tahar Benameur·Victor Moulard
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Abstract

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

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Moulay-Tahar Benameur, Victor Moulard. 2024-10-31. Admissible Higson-Roe sequences for transformation groupoids. https://arxiv.org/abs/2411.00182

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