The Borel Conjecture for hyperbolic and CAT(0)-groups

• 成果类型: Article
• 署名作者: Bartels, Arthur; Lueck, Wolfgang
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.2.5
• 发表日期: 2012
• 页码: 631-689
• 关键词: farrell-jones conjecture; K-THEORY; isomorphism conjecture; novikov conjectures; algebraic-theory; limit groups

摘要

We prove the Borel Conjecture for a class of groups containing word-hyperbolic groups and groups acting properly, isometrically and cocompactly on a finite-dimensional CAT(0)-space.