Algebraic K-theory, assembly maps, controlled algebra, and trace methods A primer and a survey of the Farrell–Jones Conjecture [chapter]

Holger Reich, Marco Varisco, Jochen Brüning, Matthias Staudacher
2018 Space – Time – Matter  
We give a concise introduction to the Farrell-Jones Conjecture in algebraic K-theory and to some of its applications. We survey the current status of the conjecture, and we illustrate the two main tools that are used to attack it: controlled algebra and trace methods.
doi:10.1515/9783110452150-001 fatcat:odghpygvvbhadlygk6yzifmowy