Abstract
We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.
Funding source: DFG
Award Identifier / Grant number: SFB 878 – Groups, Geometry and Actions
Funding source: Leibniz-Preis
Funding source: Fulbright Scholars
The authors thank the referee for several useful comments.
Received: 2011-11-29
Revised: 2012-5-15
Published Online: 2012-6-14
Published in Print: 2014-9-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Weighted norm inequalities for multilinear Calderón–Zygmund operators on non-homogeneous metric measure spaces
- A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
- Weyl groups for non-classical restricted Lie algebras and the Chevalley Restriction Theorem
- An Lp-theory for non-divergence form SPDEs driven by Lévy processes
- Clifford–Wolf translations of Finsler spaces
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Group algebras whose symmetric elements are Lie metabelian
- Algebraic supergroups of Cartan type
- On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
Keywords for this article
Algebraic K- and L-theory;
hyperbolic groups;
virtually finitely generated abelian groups
Articles in the same Issue
- Frontmatter
- Weighted norm inequalities for multilinear Calderón–Zygmund operators on non-homogeneous metric measure spaces
- A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
- Weyl groups for non-classical restricted Lie algebras and the Chevalley Restriction Theorem
- An Lp-theory for non-divergence form SPDEs driven by Lévy processes
- Clifford–Wolf translations of Finsler spaces
- Duality theory of weighted Hardy spaces with arbitrary number of parameters
- Group algebras whose symmetric elements are Lie metabelian
- Algebraic supergroups of Cartan type
- On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups