Unitary representations and von Neumann’s continuous geometries
We prove that the unit group of a nondiscrete irreducible, continuous ring, in the sense of John von Neumann, does not admit any nontrivial unitary representation continuous with respect to the strong operator topology.
Authors
- Andreas Thom (ORCID: https://orcid.org/0000-0002-7245-2861)
- Friedrich Martin Schneider (ORCID: https://orcid.org/0000-0002-4126-2758)
Institutions
- TU Bergakademie Freiberg (DE)
- Technische Universität Dresden (DE)
Publication Details
- Journal
- Proceedings of the National Academy of Sciences
- Published
- 2026-08-14
- DOI
- https://doi.org/10.1073/pnas.2615658123
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft