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math.OA2026
Trace-norm rigidity for reduced products of unitary groups and matrix algebras
Ben De Bondt, Andreas Thom
We study homomorphisms, with a focus on isomorphisms, between the tracial metric reduced products of finite dimensional unitary groups and of matrix algebras. A variant of Ulam sta…
math.GR2026
On prime endomorphisms of the free group of rank two
Andreas Thom
We study prime endomorphisms of the free group . The main results provide lower and upper bounds for the logarithmic density of non-prime endomorphisms: $$ \…
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…