On the algebraic K- and L-theory of word hyperbolic groups

Rosenthal, David; Schuetz, Dirk

Abstract

In this paper, the assembly maps in algebraic K- and L-theory for the family of finite subgroups are proven to be split injections for word hyperbolic groups. This is done by analyzing the compactification of the Rips complex by the boundary of a word hyperbolic group.

Citation

Rosenthal, D., & Schuetz, D. (2005). On the algebraic K- and L-theory of word hyperbolic groups. Mathematische Annalen, 332(3), 523-532. https://doi.org/10.1007/s00208-005-0634-6

• Journal Article Type: Article
• Publication Date: May 1, 2005
• Deposit Date: Feb 29, 2008
• Journal: Mathematische Annalen
• Print ISSN: 0025-5831
• Electronic ISSN: 1432-1807
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 332
• Issue: 3
• Pages: 523-532
• DOI: https://doi.org/10.1007/s00208-005-0634-6
• Public URL: https://durham-repository.worktribe.com/output/1561295