Special irreducible representations of Leavitt path algebras

DOI10.1016/j.aim.2020.107483zbMath1479.16029OpenAlexW3099913423MaRDI QIDQ2217537

Tran Giang Nam, Ánh, Phạm Ngọc

Publication date: 30 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2020.107483

zbMATH Keywords

prime idealsimple moduleprimitive idealfinitely presented moduleLeavitt path algebra

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) Leavitt path algebras (16S88)

Related Items (7)

Anick type automorphisms and new irreducible representations of Leavitt path algebras ⋮ Simple modules for Kumjian-Pask algebras ⋮ Realizing ultragraph Leavitt path algebras as Steinberg algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ Modules for Leavitt path algebras via extended algebraic branching systems ⋮ Irreducible representations of Leavitt algebras

Cites Work

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• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• Finitely presented simple modules over Leavitt path algebras.
• On simple modules over Leavitt path algebras.
• Irreducible representations of Leavitt path algebras.
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Simple \(C^*\)-algebras generated by isometries
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Leavitt path algebras
• Extensions of simple modules over Leavitt path algebras.
• Some remarks on the invariant basis property
• Some Remarks on One-Sided Inverses

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