The Baum-Connes conjecture via localization of Categories
type: Item
instance of: scholarly article
title: The Baum-Connes conjecture via localization of Categories
zbMATH Open document ID: 1053.19002
author: Ralf Meyer
author: Ryszard Nest
published in: Letters in Mathematical Physics
publication date: 2005-01-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0312292
Mathematics Subject Classification ID: 19K35
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 18E35
zbMATH DE Number: 2126981
zbMATH Keywords: Operator algebras
zbMATH Keywords: Baum-Connes conjecture
zbMATH Keywords: triangulated categories
MaRDI profile type: Publication
Wikidata QID: Q123296598
OpenAlex ID: W3098935710
arXiv ID: math/0312292
cites work: A universal proper G-space
cites work: On the Baum-Connes conjecture in the real case
cites work: A proof of the Baum-Connes conjecture for reductive adelic groups.
cites work: Baum-Connes conjecture for some semi-direct products
cites work: Permanence properties of the Baum-Connes conjecture
cites work: Twisted equivariant \(KK\)-theory and the Baum-Connes conjecture for group extensions
cites work: Two remarks about the Baum-Connes map
cites work: The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups
cites work: Going-down functors, the Künneth formula, and the Baum-Connes conjecture
cites work: Shapiro's lemma for topological \(K\)-theory of groups
cites work: Q3739707
cites work: Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
cites work: Equivariant 𝐸-theory for 𝐶*-algebras
cites work: The Baum-Connes conjecture
cites work: \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
cites work: Existence and uniqueness of equivariant triangulations of smooth proper G-manifolds with some applications to equivariant Whitehead torsion
cites work: A descent theorem in topological \(K\)-theory
cites work: Equivariant KK-theory and the Novikov conjecture
cites work: Groups acting on buildings, operator \(K\)-theory, and Novikov's conjecture
cites work: Q4893212
cites work: Equivariant Kasparov theory and groupoids. I
cites work: Equivariant Kasparov theory and generalized homomorphisms
cites work: The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
cites work: Triangulated categories
cites work: Real versus complex K-theory using Kasparov's bivariant KK-theory
cites work: Topological methods for \(C^*\)-algebras. III: Axiomatic homology
cites work: Q4420624
cites work: Equivariant \(KK\)-theory and \(C^*\)-extensions
cites work: The Baum-Connes conjecture for amenable foliations
DOI: 10.1007/S11005-004-1831-Z
description: scientific article