4 papers
Cartan inverse semigroups and twisted Steinberg algebras
Nathan Brownlowe, Lisa Orloff Clark, Ying-Fen Lin +1
We introduce the notion of a Cartan inverse semigroup and an (algebraic) semi-Cartan subalgebra in an -algebra A, providing a purely algebraic analogue of Cartan semigroups and…
On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras
Lisa Orloff Clark, Lynnel D. Naingue, Jocelyn P. Vilela
We generalise recent results about quasi-Cartan, Cartan and diagonal subalgebras by introducing graded versions. We show that there is a correspondence between graded algebraic qua…
On the socle of a class of Steinberg algebras
Lisa Orloff Clark, Cristóbal Gil Canto, Dolores Martín Barquero +2
We study minimal left ideals in Steinberg algebras of Hausdorff groupoids. We establish a relationship between minimal left ideals in the algebra and open singletons in the unit sp…
Efficient Presentations of Relative Cuntz-Krieger Algebras
Lisa Orloff Clark, Yosafat E. P. Pangalela
In this article, we present a new method to study relative Cuntz-Krieger algebras for higher-rank graphs. We only work with edges rather than paths of arbitrary degrees. We then us…