14 citations · 37 across the 18 of their papers we have counts for
23 papers
Generalisable presentations and compactness properties of locally compact right-angled Artin groups
Ilaria Castellano, Bianca Marchionna, Brita Nucinkis +1
We propose the systematic study of presentations that can be generalised over a continuous open group monomorphism. Presentations with this property can turn well-known presentatio…
On cohomological dimensions of totally disconnected locally compact groups
Ilaria Castellano, Nadia Mazza, Brita Nucinkis
In this paper, we introduce Mackey functors for a t.d.l.c. group and define the cohomological dimension of this group over the Mackey category. We then compare this dimension to th…
Grid diagrams for higher-dimensional Thompson's groups
José Burillo, Sean Cleary, Brita Nucinkis
We describe standard forms for elements of the higher-dimensional Thompson groups arising from gridding subdivision processes. These processes lead to standard normal form des…
The Sigma invariants for the Golden Mean Thompson group
Lewis Molyneux, Brita Nucinkis, Yuri Santos Rego
We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group . To do so we establish conditions under which t…
Irrational-slope versions of Thompson's groups and
José Burillo, Brita Nucinkis, Lawrence Reeves
In this paper we consider the - and - versions, and , of the irrational slope Thompson group considered in [3]. We give infinite presentations for these gro…
Nuclearity of semigroup C*-algebras
Astrid an Huef, Brita Nucinkis, Camila F. Sehnem +1
We study the semigroup C*-algebra of a positive cone P of a weakly quasi-lattice ordered group. That is, P is a subsemigroup of a discrete group G with P\cap P^{-1}=\{e\} and such…