The center of a Leavitt path algebra.

DOI10.4171/RMI/649zbMath1235.16004MaRDI QIDQ2275349

Kathi Crow, Gonzalo Aranda Pino

Publication date: 8 August 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1307713040

zbMATH Keywords

centerLeavitt path algebrasgraph algebrasexchange Leavitt algebras

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of quivers and partially ordered sets (16G20) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Leavitt path algebras (16S88)

Related Items

Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ Using the Steinberg algebra model to determine the center of any Leavitt path algebra ⋮ The commutative core of a Leavitt path algebra ⋮ The graded structure of Leavitt path algebras. ⋮ Centers of path algebras, Cohn and Leavitt path algebras ⋮ Simple Lie algebras arising from Leavitt path algebras. ⋮ SIMPLICITY OF LEAVITT PATH ALGEBRAS VIA GRADED RING THEORY ⋮ Weakly regular and self-injective Leavitt path algebras over arbitrary graphs. ⋮ Bases of Leavitt path algebras with only strongly regular elements ⋮ Atlas of Leavitt path algebras of small graphs ⋮ Centers of algebras associated to higher-rank graphs. ⋮ Centers of Leavitt path algebras and their completions ⋮ Homotopy classification of Leavitt path algebras ⋮ On the Simplicity of the Lie Algebra of a Leavitt Path Algebra ⋮ Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids ⋮ Kumjian-Pask algebras of higher-rank graphs ⋮ Leavitt path algebras: the first decade ⋮ A note on the centralizer of a subalgebra of the Steinberg algebra

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