Subexponential group cohomology and the \(K\)-theory of Lafforgue's algebra \({\mathcal{A}_{\max}}(\pi)\)

DOI10.1007/S10977-006-0023-2zbMath1118.19001arXiv1212.1678OpenAlexW2333687365MaRDI QIDQ864999

Crichton Ogle, Ronghui Ji

Publication date: 13 February 2007

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

Full work available at URL: https://arxiv.org/abs/1212.1678

zbMATH Keywords

assembly map\(p\)-bounded cohomologyLafforgue algebraslocal cyclic homology, subexponential growthunconditional completion

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and operator algebras (19K99)

Related Items (1)

The isocohomological property, higher Dehn functions, and relatively hyperbolic groups.

Cites Work

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• K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups
• The cyclic homology of the group rings
• Smooth dense subalgebras of reduced group \(C^*\)-algebras, Schwartz cohomology of groups, and cyclic cohomology
• \(K\)-theory of fine topological algebras, Chern character, and assembly
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• The Kadison-Kaplansky conjecture for word-hyperbolic groups
• Polynomially bounded cohomology and discrete groups
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka's principle, K-theory and noncommutative dynamical systems)

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