Using the Steinberg algebra model to determine the center of any Leavitt path algebra

DOI10.1007/s11856-018-1816-8zbMath1469.16063arXiv1604.01079OpenAlexW2964145683MaRDI QIDQ2631878

Mercedes Siles Molina, Lisa Orloff Clark, Dolores Martín Barquero, Cándido Martín González

Publication date: 16 May 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01079

zbMATH Keywords

centergroupoidLeavitt path algebraSteinberg algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05) Leavitt path algebras (16S88)

Related Items (14)

TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY ⋮ Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ A note on the regular ideals of Leavitt path algebras ⋮ Using Steinberg algebras to study decomposability of Leavitt path algebras ⋮ Strongly graded groupoids and strongly graded Steinberg algebras ⋮ SIMPLICITY OF LEAVITT PATH ALGEBRAS VIA GRADED RING THEORY ⋮ On induced graded simple modules over graded Steinberg algebras with applications to Leavitt path algebras ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Simplicity of inverse semigroup and étale groupoid algebras ⋮ CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Diagonal-preserving graded isomorphisms of Steinberg algebras ⋮ Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids

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• Extreme cycles. The center of a Leavitt path algebra.

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