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math.GR2018
Invariant automatic continuity for compact connected simple Lie groups
Laurens Diels, Philip A. Dowerk
In this note we prove that a homomorphism from a compact connected simple Lie group with the norm topology to any separable SIN group is automatically continuous. This generalizes…
math.GR2018
Strong uncountable cofinality for unitary groups of von Neumann algebras
Philip A. Dowerk
We show that unitary groups of II factors and of properly infinite von Neumann algebras have strong uncountable cofinality. In particular, we obtain a short alternative proof f…
math.GR2018
Bounded normal generation is not equivalent to topological bounded normal generation
Philip A. Dowerk, François Le Maître
We show that some derived full groups provide examples of non simple Polish groups with the topological bounded normal generation property. In particular, it follows…