CRC 1442 - C03: K-theory of group algebras
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 | 2nd Funding period
Description
We will study K-theory of group algebras via assembly maps. A key tool is the Farrell—Jones Conjecture for group rings and its extension to Hecke algebra. We will study in particular integral Hecke algebras, investigate Efimov’s continuous K-theory as an alternative to controlled algebra in the context of the Farrell-Jones conjecture, and study vanishing phenomena for high dimensional cohomology of arithmetic groups.
Keywords: Geometry; Topology; Group Theory; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/c03.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/444033972
Funding identifier: SFB 1442/2, C03 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Bartels, Arthur |
Applicants from the University of Münster
| Bartels, Arthur |
Projects of the previous funding period
Duration: 01/07/2020 - 30/06/2024 | 1st Funding period Funded by: DFG - Collaborative Research Centre Type of project: Subproject in DFG-joint project hosted at University of Münster |
Related main project
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period Funded by: DFG - Collaborative Research Centre Type of project: Main DFG-project hosted at University of Münster |