A class of corners of a Leavitt path algebra
2019 ◽
Vol 2
(4)
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pp. 75-81
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Let E be a directed graph, K a field and LK(E) the Leavitt path algebra of E over K. The goal of this paper is to describe the structure of a class of corners of Leavitt path algebras LK(E). The motivation of this work comes from the paper “Corners of Graph Algebras” of Tyrone Crisp in which such corners of graph C*-algebras were investigated completely. Using the same ideas of Tyrone Crisp, we will show that for any finite subset X of vertices in a directed graph E such that the hereditary subset HE(X) generated by X is finite, the corner ( ) ( )( ) K v X v X v L E v is isomorphic to the Leavitt path algebra LK(EX) of some graph EX. We also provide a way how to construct this graph EX.
2019 ◽
Vol 19
(09)
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pp. 2050165
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Keyword(s):
2019 ◽
Vol 18
(04)
◽
pp. 1950062
2012 ◽
Vol 11
(03)
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pp. 1250044
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2017 ◽
Vol 96
(2)
◽
pp. 212-222
Keyword(s):
2012 ◽
Vol 88
(2)
◽
pp. 206-217
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Keyword(s):
Keyword(s):