Long and thin covers for flow spaces

Abstract

Long and thin covers of flow spaces are important ingredients in the proof of the Farrell--Jones conjecture for certain classes of groups, like hyperbolic and CAT(0)-groups. In this paper we provide an alternative construction of such covers which holds in a more general setting and simplifies some of the arguments.

22 pages; the title no longer contains the word cocompact, some more changes following a referee report; to appear in Groups, Geometry, and Dynamics

References in corpus (2)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• The K-theoretic Farrell-Jones conjecture for CAT(0)-groups

Cited by in corpus (3)

• On equivariant asymptotic dimension
• K-theory and actions on Euclidean retracts
• The nuclear dimension of $C^{\ast }$-algebras associated to topological flows and orientable line foliations