3 papers
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…
math.FA2016
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…
math.OA2015
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.