SUBSETS OF VERTICES GIVE MORITA EQUIVALENCES OF LEAVITT PATH ALGEBRAS

DOI10.1017/S0004972717000247zbMath1378.16039arXiv1701.03178OpenAlexW2600040276WikidataQ123777468 ScholiaQ123777468MaRDI QIDQ5369399

Pareoranga Luiten-Apirana, Astrid an Huef, Lisa Orloff Clark

Publication date: 17 October 2017

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

Full work available at URL: https://arxiv.org/abs/1701.03178

zbMATH Keywords

directed graphMorita equivalencegraph algebraMorita contextLeavitt path algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Associative rings and algebras arising under various constructions (16S99)

Related Items (1)

Full idempotents in Leavitt path algebras

Cites Work

• Kumjian-Pask algebras of locally convex higher-rank graphs.
• Kumjian-Pask algebras of finitely aligned higher-rank graphs
• Leavitt path algebras with coefficients in a commutative ring.
• Flow invariants in the classification of Leavitt path algebras.
• Equivalent groupoids have Morita equivalent Steinberg algebras.
• The socle of a Leavitt path algebra.
• The \(C^*\)-algebras of arbitrary graphs
• The Leavitt path algebra of a graph.
• Singular equivalence of finite dimensional algebras with radical square zero
• The Cuntz splice does not preserve \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\)
• Geometric classification of simple graph algebras
• Applications of the Gauge-invariant uniqueness theorem for graph algebras
• Contractible subgraphs and Morita equivalence of graph 𝐶*-algebras
• Flow equivalence of graph algebras
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