Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture

DOI10.4171/JNCG/50zbMath1192.46066arXiv0707.3658WikidataQ122889950 ScholiaQ122889950MaRDI QIDQ2269731

Bobby W. Ramsey, Ronghui Ji, Crichton Ogle

Publication date: 11 March 2010

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3658

zbMATH Keywords

Bass conjecture\(\mathcal B\)-bounded cohomologyrapid decay algebras

Mathematics Subject Classification ID

Group rings (16S34) Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (12)

A spectral sequence for polynomially bounded cohomology ⋮ Permute and conjugate: the conjugacy problem in relatively hyperbolic groups ⋮ The isocohomological property, higher Dehn functions, and relatively hyperbolic groups. ⋮ Time complexity of the conjugacy problem in relatively hyperbolic groups ⋮ Divergence, thick groups, and short conjugators ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ ${\mathcal{B}$-BOUNDED COHOMOLOGY AND APPLICATIONS ⋮ Nuclear group algebras for finitely generated groups ⋮ Tracing cyclic homology pairings under twisting of graded algebras ⋮ On the Hochschild homology of \(\ell^1\)-rapid decay group algebras ⋮ Conjugacy Length in Group Extensions ⋮ Bounded homotopy theory and the \(K\)-theory of weighted complexes

Cites Work

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• Euler characteristics and characters of discrete groups
• Geometric \(K\)-theory for Lie groups and foliations
• From acyclic groups to the Bass conjecture for amenable groups.
• Semihyperbolic Groups
• Conjugacy in Nilpotent Groups

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