CRC 1442 - D05: C*-algebras, groups, and dynamics: beyond amenability
Basic data for this project
Type of project: Subproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster: 01/07/2024 - 30/06/2028 | 1st Funding period
Description
Our project will explore the regularity properties of non-nuclear C*-algebras, with a particular emphasis on stable rank one and strict comparison. We focus on two main classes of examples: C*-algebras associated with non-amenable groups and crossed product C*-algebras arising from non-amenable actions on compact Hausdorff spaces. We intend to leverage dynamical tools, including dynamical comparison and the structure of topological full groups.
Keywords: Geometry; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/d05.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/544192099
Funding identifier: SFB 1442/2, D05 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Kerr, David | Professorship of theoretical mathematics (Prof. Kerr) |
| Winter, Wilhelm | Professur für Theoretische Mathematik (Prof. Winter) |
Applicants from the University of Münster
| Kerr, David | Professorship of theoretical mathematics (Prof. Kerr) |
| Winter, Wilhelm | Professur für Theoretische Mathematik (Prof. Winter) |