Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras

DOI10.1090/tran/7460zbMath1451.16025arXiv1601.07238OpenAlexW2963663588MaRDI QIDQ4633595

Aidan Sims, Astrid an Huef, Cain Edie-Michell, Lisa Orloff Clark

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07238

zbMATH Keywords

groupoidideal structureLeavitt path algebraSteinberg algebraKumjian-Pask algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Topological groupoids (including differentiable and Lie groupoids) (22A22) Associative rings and algebras arising under various constructions (16S99) Leavitt path algebras (16S88)

Related Items

TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY ⋮ Using Steinberg algebras to study decomposability of Leavitt path algebras ⋮ Non-simple purely infinite Steinberg algebras with applications to Kumjian-Pask algebras ⋮ Étale Groupoids and Steinberg Algebras a Concise Introduction ⋮ Simplicity of inverse semigroup and étale groupoid 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 ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ TENSOR PRODUCTS OF STEINBERG ALGEBRAS ⋮ Étale groupoid algebras with coefficients in a sheaf and skew inverse semigroup rings

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