Baum-Connes conjecture and extensions

DOI10.1515/crll.2001.020zbMath0973.46064OpenAlexW2065620798WikidataQ123130224 ScholiaQ123130224MaRDI QIDQ2706829

Hervé Oyono-Oyono

Publication date: 5 December 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.020

zbMATH Keywords

Haagerup propertyexact sequence of discrete countable groupsstability of the Baum-Connes conjecture under extensions

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Extensions, wreath products, and other compositions of groups (20E22) General geometric structures on low-dimensional manifolds (57M50) Kasparov theory ((KK)-theory) (19K35)

Related Items (13)

The Novikov conjecture and extensions of coarsely embeddable groups ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ The Baum-Connes property for a quantum (semi-)direct product ⋮ Coarse geometry of Hecke pairs and the Baum-Connes conjecture ⋮ The coarse Baum-Connes conjecture for certain relative expanders ⋮ Coarse Baum-Connes conjecture and rigidity for Roe algebras ⋮ The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups ⋮ Homotopy invariance of higher signatures and $3$-manifold groups ⋮ Finite group extensions and the Baum-Connes conjecture ⋮ \(K\)- and \(L\)-theory of graph products of groups ⋮ Group pairs with property (T), from arithmetic lattices ⋮ \(K\)-homology and \(K\)-theory of pure braid groups ⋮ \(W^\ast\) and \(C^\ast \)-superrigidity results for coinduced groups

Cites Work

• Exact Sequences for the Kasparov Groups of Graded Algebras
• La conjecture de Baum-Connes pour les groupes agissant sur les arbres
• Borel cocycles, approximation properties and relative property T

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