6 papers
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…
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…
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…
Bounded normal generation for projective unitary groups of certain infinite operator algebras
Philip A. Dowerk, Andreas Thom
We study the question how quickly products of a fixed conjugacy class cover the entire group in the projective unitary group of the connected component of the identity of the Calki…
A new proof of extreme amenability of the unitary group of the hyperfinite II-factor
Philip A. Dowerk, Andreas Thom
We provide an alternative proof for the extreme amenability of the unitary group of the hyperfinite II-factor von Neumann algebra, endowed with the strong operator topology.
Bounded Normal Generation and Invariant Automatic Continuity
Philip A. Dowerk, Andreas Thom
We study the question how quickly products of a fixed conjugacy class in the projective unitary group of a II-factor von Neumann algebra cover the entire group. Our result is…