Expanders, exact crossed products, and the Baum-Connes conjecture

DOI10.2140/AKT.2016.1.155zbMath1331.46064arXiv1311.2343OpenAlexW1921611651WikidataQ122970037 ScholiaQ122970037MaRDI QIDQ887836

Rufus Willett, Paul F. Baum, Erik Guentner

Publication date: 3 November 2015

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2343

zbMATH Keywords

crossed productassembly mapBaum-Connes conjecture with coefficientsexact group

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative geometry (à la Connes) (58B34)

Related Items (22)

Partial tensor-product functors and crossed-product functors ⋮ On the Baum-Connes conjecture for Gromov monster groups ⋮ Exotic crossed products and the Baum-Connes conjecture ⋮ Equivariant coarse (co-)homology theories ⋮ Coaction functors. II ⋮ Exotic ideals in free transformation group C∗$\mathbf {C}^*$‐algebras ⋮ The minimal exact crossed product ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ The Baum–Connes conjecture localised at the unit element of a discrete group ⋮ Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model ⋮ Exact sequences in the Enchilada category ⋮ Maximality of dual coactions on sectional $C^{*}$-algebras of Fell bundles and applications ⋮ Warped cones over profinite completions ⋮ An elementary Green imprimitivity theorem for inverse semigroups ⋮ The maximal injective crossed product ⋮ Normality conditions of structures in coarse geometry and an alternative description of coarse proximities ⋮ Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras ⋮ Straightening warped cones ⋮ Exotic Crossed Products ⋮ Slant products on the Higson-Roe exact sequence ⋮ Exotic group \(C^*\)-algebras of simple Lie groups with real rank one ⋮ TENSOR-PRODUCT COACTION FUNCTORS

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