2 papers
math.GR2026
Unitary representations and von Neumann's continuous geometries
Friedrich Martin Schneider, Andreas Thom
We prove that the unit group of a non-discrete irreducible, continuous ring, in the sense of John von Neumann, does not admit any non-trivial unitary representation continuous with…
math.GR2025
Projective simplicity and Bergman's property for unit groups of continuous rings
Friedrich Martin Schneider
We prove that the projective unit group , i.e., the quotient of the unit group modulo its center, of any non-discrete irreducible, continuous ring…