The coarse Baum-Connes conjecture and groupoids. II

zbMath1268.19001arXiv1005.0407MaRDI QIDQ416772

Jean-Louis Tu

Publication date: 10 May 2012

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0407

zbMATH Keywords

groupoidcoarse geometryBaum-Connes conjecture

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Topological groupoids (including differentiable and Lie groupoids) (22A22) Index theory (19K56)

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Controlled \(K\)-theory for groupoids \& applications to coarse geometry, Coarse Baum-Connes conjecture and rigidity for Roe algebras, Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture, Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds, Going-down functors and the Künneth formula for crossed products by étale groupoids, A going-down principle for ample groupoids and the Baum-Connes conjecture