K-theory and actions on Euclidean retracts

Abstract

This note surveys axiomatic results for the Farrell-Jones Conjecture in terms of actions on Euclidean retracts and applications of these to GL_n(Z), relative hyperbolic groups and mapping class groups.

arXiv commentsubmitted to Proceedings of the ICM 2018

References in corpus (8)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• The mapping class group from the viewpoint of measure equivalence theory
• On the K-theory of groups with Finite Decomposition Complexity
• Algebraic K-theory of group rings and the cyclotomic trace map
• Algebraic $K$-theory, assembly maps, controlled algebra, and trace methods
• K- and L-theory of group rings
• Long and thin covers for flow spaces
• On equivariant asymptotic dimension

Cited by in corpus (1)

• On the Farrell-Jones conjecture for localising invariants