Project Details
C*-algebras, groups, and dynamics: beyond amenability (D05*)
Subject Area
Mathematics
Term
since 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536
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.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1442:
Geometry: Deformations and Rigidity
Applicant Institution
Universität Münster