The Local-Global Principle in Leavitt Path Algebras

2018/08/14 by S.K. Esin, Songül Esin, Esin, Songül
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Quantum Mechanics and Applications #math.RA #msc:16D25 #msc:16D70

paper · pdf · doi:10.48550/arxiv.1808.04785

arXiv admin note: text overlap with arXiv:0806.3743, arXiv:1507.05984 by other authors

arxiv created 2018/08/14 · arxiv updated 2018/08/20

Abstract

This is a short note on how a particular graph construction on a subset of edges that lead to a subalgebra construction, provided a tool in proving some ring theoretical properties of Leavitt path algebras.

Citations

• Regularity conditions for arbitrary Leavitt path algebras
• On graded irreducible representations of Leavitt path algebras

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