A note on the regular ideals of Leavitt path algebras
Keyword(s):
We show that, for an arbitrary graph, a regular ideal of the associated Leavitt path algebra is also graded. As a consequence, for a row-finite graph, we obtain that the quotient of the associated Leavitt path by a regular ideal is again a Leavitt path algebra and that Condition (L) is preserved by quotients by regular ideals. Furthermore, we describe the vertex set of a regular ideal and make a comparison between the theory of regular ideals in Leavitt path algebras and in graph C*-algebras.
2016 ◽
Vol 15
(05)
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pp. 1650084
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2017 ◽
Vol 16
(05)
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pp. 1750090
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2019 ◽
Vol 18
(05)
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pp. 1950086
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2019 ◽
Vol 18
(08)
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pp. 1950154
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2019 ◽
Vol 2
(4)
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pp. 75-81
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2011 ◽
Vol 10
(05)
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pp. 801-809
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2019 ◽
Vol 19
(09)
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pp. 2050165
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