101 citations · 209 across the 33 of their papers we have counts for
6 papers · 2 filters
A Generalised uniqueness theorem and the graded ideal structure of Steinberg algebras
Lisa Orloff Clark, Ruy Exel, Enrique Pardo
Given an ample, Hausdorff groupoid , and a unital commutative ring , we consider the Steinberg algebra . First we prove a uniqueness theorem for…
Using the Steinberg algebra model to determine the center of any Leavitt path algebra
Lisa Orloff Clark, Dolores Martín Barquero, Cándido Martín González +1
Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra.…
Cohn path algebras of higher-rank graphs
Lisa Orloff Clark, Yosafat E. P. Pangalela
In this article, we introduce Cohn path algebras of higher-rank graphs. We prove that for a higher-rank graph , there exists a higher-rank graph such that the Cohn path alg…
Using Steinberg algebras to study decomposability of Leavitt path algebras
Lisa Orloff Clark, Dolores Martin Barquero, Candido Martin Gonzalez +1
Given an arbitrary graph we investigate the relationship between and the groupoid . We show that there is a lattice isomorphism between the lattice of pairs ,…
The cycline subalgebra of a Kumjian-Pask algebra
Lisa Orloff Clark, Cristóbal Gil Canto, Alireza Nasr-Isfahani
Let be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra inside the Kumjian-Pask algebra . We also prove…
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
Lisa Orloff Clark, Cain Edie-Michell, Astrid an Huef +1
We consider the ideal structure of Steinberg algebras over a commutative ring with identity. We focus on Hausdorff groupoids that are strongly effective in the sense that their red…