Purely infinite simple ultragraph Leavitt path algebras

DOI10.1007/s00009-021-01899-yzbMath1489.16030arXiv2007.08144OpenAlexW3216080520MaRDI QIDQ2053773

Yanyan Li

Publication date: 30 November 2021

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

Full work available at URL: https://arxiv.org/abs/2007.08144

zbMATH Keywords

von Neumann regularitygraded simplicitypurely infinite simplicityultragraph Leavitt path algebras

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Leavitt path algebras (16S88)

Related Items

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

Cites Work

• Unnamed Item
• Irreducible representations of Leavitt path algebras.
• Ultragraphs and shift spaces over infinite alphabets
• \(K_0\) of purely infinite simple regular rings
• Purely infinite simple Leavitt path algebras.
• Finite-dimensional Leavitt path algebras.
• Regularity conditions for arbitrary Leavitt path algebras.
• Leavitt path algebras
• Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems
• Representations and the reduction theorem for ultragraph Leavitt path algebras
• Irreducible and permutative representations of ultragraph Leavitt path algebras
• Simplicity of ultragraph algebras
• Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
• Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras
• Dense subalgebras of purely infinite simple groupoidC*-algebras
• The Leavitt Path Algebras of Ultragraphs
• SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY
• Infinite Alphabet Edge Shift Spaces via Ultragraphs and Their C*-Algebras
• Leavitt path algebras: the first decade