Coarse geometry of Hecke pairs and the Baum-Connes conjecture

DOI10.2140/pjm.2023.322.21zbMath1517.19001arXiv2112.10120MaRDI QIDQ6043340

Clément Dell'Aiera

Publication date: 5 May 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10120

zbMATH Keywords

Baum-Connes conjectureHaagerup property\(K\)-theory and homologyalmost normal subgroup

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and \(C^\ast\)-algebras
• Exactness of locally compact groups
• The Baum-Connes conjecture with coefficients for hyperbolic groups
• Operationen mit periodischen Stabilisatoren
• The Baum-Connes conjecture for amenable foliations
• Local-global principle for the Baum-Connes conjecture with coefficients
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• Shapiro's lemma for topological \(K\)-theory of groups
• Groups acting properly on ``bolic spaces and the Novikov conjecture
• Bivariant \(K\)-theory and the Novikov conjecture
• Baum-Connes conjecture and group actions on trees
• The coarse Baum-Connes conjecture and groupoids
• Counterexamples to the Baum-Connes conjecture
• Going-down functors, the Künneth formula, and the Baum-Connes conjecture
• Geometric property (T)
• The Novikov conjecture for linear groups
• Baum-Connes conjecture and extensions
• Proper actions of wreath products and generalizations
• Baum-Connes conjecture for some semi-direct products
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space

This page was built for publication: Coarse geometry of Hecke pairs and the Baum-Connes conjecture