26 citations · 121 across the 20 of their papers we have counts for
20 papers
Another ambitable group
Jan Pachl
It is an open question whether every topological group is precompact or ambitable. This note presents a topological group that is ambitable but does not satisfy previously known su…
An embedding theorem for uniform measures on topological groups
Jan Pachl
The embedding theorem of Roelcke and Dierolf for the completions of four standard uniform structures on topological groups and their quotients holds more generally for spaces of un…
DTC ultrafilters on groups
Jan Pachl, Juris Steprāns
We say that an ultrafilter on an infinite group is DTC if it determines the topological centre of the semigroup . We prove that DTC ultrafilters do not exist for virtually…
Approximate fixed points and B-amenable groups
Jan Pachl
A topological group is B-amenable if and only if every continuous affine action of on a bounded convex subset of a locally convex space has an approximate fixed point. Simi…
Semipullbacks of labelled Markov processes
Jan Pachl, Pedro Sánchez Terraf
A labelled Markov process (LMP) consists of a measurable space together with an indexed family of Markov kernels from to itself. This structure has been used to model proba…
Proof of the Ghahramani-Lau conjecture
Viktor Losert, Matthias Neufang, Jan Pachl +1
The Ghahramani-Lau conjecture is established; in other words, the measure algebra of every locally compact group is strongly Arens irregular. To this end, we introduce and study ce…