SIMPLICITY OF LEAVITT PATH ALGEBRAS VIA GRADED RING THEORY

DOI10.1017/s0004972723000114arXiv2211.10233MaRDI QIDQ6069296

Johan Öinert, Patrik Lundström

Publication date: 14 November 2023

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

Full work available at URL: https://arxiv.org/abs/2211.10233

zbMATH Keywords

graded ringLeavitt path algebracentresimple ring

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Leavitt path algebras (16S88)

Cites Work

• The graded structure of Leavitt path algebras.
• Uniqueness theorems for Steinberg algebras
• Morita equivalence for rings without identity
• Leavitt path algebras with coefficients in a commutative ring.
• Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics.
• A groupoid approach to discrete inverse semigroup algebras
• Methods of graded rings.
• Centers of algebras associated to higher-rank graphs.
• The center of a Leavitt path algebra.
• A groupoid generalisation of Leavitt path algebras
• Nonstable \(K\)-theory for graph algebras.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• Using the Steinberg algebra model to determine the center of any Leavitt path algebra
• A survey of s-unital and locally unital rings
• Simple semigroup graded rings
• Leavitt path algebras: the first decade
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