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

Professur für Theoretische Mathematik (Prof. Bartels)

Applicants from the University of Münster