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Goncalves, Daniel; Yoneda, Gabriela (2015)
Languages: English
Types: Preprint
Subjects: Mathematics - Rings and Algebras, Mathematics - Operator Algebras, 16W50, 16W55, 16G99

Classified by OpenAIRE into

arxiv: Mathematics::Operator Algebras, Mathematics::Rings and Algebras, Mathematics::Commutative Algebra, Mathematics::Category Theory, Mathematics::K-Theory and Homology
In this work we realize Leavitt path algebras as partial skew groupoid rings. This yields a free path groupoid grading on Leavitt path algebras. Using this grading we characterize free path groupoid graded isomorphisms of Leavitt path algebras that preserves generators.
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    • [3] G. Abrams, M. Tomforde, Isomorphism and Morita equivalence of graph algebras, Trans. Amer. Math. Soc., 363, (2011), 3733-3767.
    • [4] D. Bagio, D. Flores, A. Paques, Partial actions of ordered groupoids on rings, Journal of Algebra and its Applications, 9, No. 3, (2010), 501-517.
    • [5] D. Bagio, A. Paques, Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory, Communications In Algebra, 40, (2012), 3658-3678.
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