On the K- and L-theory of hyperbolic and virtually finitely generated\n abelian groups

2010/07/06 by Wolfgang Lueck, Lueck, Wolfgang, David Rosenthal +2
Mathematics · Physics and Astronomy · #19A31 #19B28 #19D99 #19G24 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1007.0845

openalex publication_date 2010/07/06 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We investigate the algebraic K- and L-theory of the group ring RG, where G is\na hyperbolic or virtually finitely generated abelian group and R is an\nassociative ring with unit.\n

Citations

• Hyperelementary assembly for K-theory of virtually abelian groups
• Topology of Homology Manifolds

Related

• K- and L-theory of group rings
• K-theory and the Enriched Tits Building
• Group rings whose group of units is hyperbolic
• Algebraic theory of abelian groups
• Induction Theorems and Isomorphism Conjectures for K- and L-Theory