Listar por autor "Clark, Lisa Orloff"
Mostrando ítems 1-5 de 5
-
Groupoids and Steinberg Algebras
(2016-03-15)A groupoid is a generalisation of group in which composition is only partially defined. In first half of this talk, I will give an overview of groupoid theory and show how groupoids provide a unifying model for a number ... -
Groupoids in analysis and algebra.
(2023)Groupoid algebras are studied in both analytic and algebraic contexts. In analysis, groupoid C*-algebras play a fundamental role in the theory and include many important subclasses. Steinberg algebras are their purely ... -
The cycline subalgebra of a Kumjian-Pask algebra.
Clark, Lisa Orloff; Gil-Canto, Cristóbal
; Nasr-Isfahani, Alireza (American Mathematical Society, 2016-11-21)
Let $\Lambda$ be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra $\mathcal{M}$ inside the Kumjian-Pask algebra ${\rm KP}_R(\Lambda)$. We also prove a generalized Cuntz-Krieger ... -
The lattice of ideals in the Steinberg algebra of a strongly effective groupoid
(2023-07-05)A topological groupoid is generalization of topological group where the binary operation is only partially defined. Ample groupoids are a special class of topological groupoid that have an especially well behaved topology. ... -
Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra
Clark, Lisa Orloff; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (Springer, 2019-04)
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. A key ingredient is a characterization ...