SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY

DOI10.1017/S144678871900020XzbMath1465.16021arXiv1706.03628OpenAlexW2962735921WikidataQ127494801 ScholiaQ127494801MaRDI QIDQ5140655

Daniel Gonçalves, Danilo Royer

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1706.03628

zbMATH Keywords

simplicityNoetherian ringartinian ringpartial skew group ringultragraph Leavitt path algebras

Mathematics Subject Classification ID

Twisted and skew group rings, crossed products (16S35) Artinian rings and modules (associative rings and algebras) (16P20) Associative rings and algebras arising under various constructions (16S99)

Related Items (14)

Simplicity of algebras via epsilon-strong systems ⋮ KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks ⋮ Properties of the gradings on ultragraph algebras via the underlying combinatorics ⋮ Realizing ultragraph Leavitt path algebras as Steinberg algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ Leavitt path algebras of labelled graphs ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ Recent developments around partial actions ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Purely infinite simple ultragraph Leavitt path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ Étale groupoid algebras with coefficients in a sheaf and skew inverse semigroup rings

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