RT Journal Article
T1 Using the Steinberg Algebra Model to determine the center of any Leavitt Path Algebra
A1 Clark, Lisa Orloff
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
A1 Siles-Molina, Mercedes
K1 Grafos, Teoría de
K1 Anillos (Álgebra)
AB 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 of compact open invariant subsets of the unit space of the graph groupoid in terms of the underlying graph: an open invariant subset is compact if and only if its associated hereditary and saturated set of vertices satisfies Condition (F). We also give a basis of the center. Its cardinality depends on the number of minimal compact open invariant subsets of the unit space.
PB Springer
YR 2019
FD 2019-04
LK https://hdl.handle.net/10630/29711
UL https://hdl.handle.net/10630/29711
LA eng
NO Clark, L.O., Martín Barquero, D., Martín González, C. et al. Using the Steinberg algebra model to determine the center of any Leavitt path algebra. Isr. J. Math. 230, 23–44 (2019). https://doi.org/10.1007/s11856-018-1816-8
NO Marsden grant 15-UOO-071 from the Royal Society of New Zealand and a University of Otago Research Grant. Junta de Andalucía and Fondos FEDER, through projects FQM-336 and FQM-7156. Spanish Ministerio de Economía y CompetitividadFondos FEDER,  project MTM2013- 41208-P.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026