Using Steinberg algebras to study decomposability of Leavitt path algebras

DOI10.1515/forum-2016-0062zbMath1401.16036arXiv1603.01033OpenAlexW2963633221MaRDI QIDQ1683664

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

Publication date: 1 December 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01033

zbMATH Keywords

direct sum decompositionLeavitt path algebraSteinberg algebraample groupoid

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) Lattice ideals, congruence relations (06B10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Associative rings and algebras arising under various constructions (16S99)

Related Items (12)

Diagonal-preserving isomorphisms of étale groupoid algebras ⋮ Using the Steinberg algebra model to determine the center of any Leavitt path algebra ⋮ Invariant ideals in Leavitt path algebras ⋮ Largest ideals in Leavitt path algebras ⋮ On induced graded simple modules over graded Steinberg algebras with applications to Leavitt path algebras ⋮ Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings ⋮ CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS ⋮ A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras ⋮ Diagonal-preserving graded isomorphisms of Steinberg algebras ⋮ TENSOR PRODUCTS OF STEINBERG ALGEBRAS

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