DOI: 10.1073/pnas.2615658123 ISSN: 0027-8424

Unitary representations and von Neumann’s continuous geometries

Friedrich Martin Schneider, Andreas Thom
Show PDF Cite

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.

More from our Archive