Project Details
Projekt
Baum-Connes conjecture and expanders (C03)
Subject Area
Mathematics
Term
from 2010 to 2019
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 129719356
We study C*-algebras constructed from locally compact (semi)groups or group actions, by means of topological invariants such as their K-theory groups. One major tool for this is given by (confirmed cases of) the Baum-Connes conjecture. Known counterexamples to the Baum-Connes conjecture involve groups (Gromov's monster groups) that admit coarse embeddings of expanders. We will study a new formulation of the conjecture that avoids the existing counterexamples, and we will study the relation between the coarse geometry of expanders and rigidity properties for groups and operator algebras.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 878:
Groups, Geometry and Actions
Applicant Institution
Universität Münster
Project Heads
Professor Dr. Joachim Cuntz; Professor Dr. Siegfried Echterhoff; Professor Dr. Tim de Laat, Ph.D.; Professor Dr. Wilhelm Winter, until 6/2018
