2018/05/01 by Wolfgang Lueck, Lueck, Wolfgang · 1 citation
Engineering · #18F25 (primary) #46L80 #55P91 #57N99 (secondary) #FOS: Mathematics #K-Theory and Homology (math.KT) #Manufacturing Process and Optimization
paper · pdf · doi:10.48550/arxiv.1805.00226
openalex publication_date 2018/05/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We introduce and analyze the concept of an assembly map from the original homotopy theoretic point of view. We give also interpretations in terms of surgery theory, controlled topology and index theory. The motivation is that prominent conjectures of Farrell-Jones and Baum-Connes about K- and L-theory of group rings and group C^*-algebras predict that certain assembly maps are weak homotopy equivalences.