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- W2769028051 abstract "In this chapter we investigate the connections between Leavitt path algebras (with coefficients in (mathbb{C})), and their analytic counterparts, the graph C ∗-algebras. We start by giving a brief overview of graph C ∗-algebras, and then show how the Leavitt path algebra (L_{mathbb{C}}(E)) naturally embeds as a dense ∗-subalgebra of the graph C ∗-algebra C ∗(E). We analyze the structure of the closed ideals in C ∗(E) for row-finite graphs, and compare this structure to the ideal structure of the corresponding Leavitt path algebra L K (E). We finish the chapter by considering numerous properties which are simultaneously shared by C ∗(E) and (L_{mathbb{C}}(E))." @default.
- W2769028051 created "2017-12-04" @default.
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- W2769028051 date "2017-01-01" @default.
- W2769028051 modified "2023-09-30" @default.
- W2769028051 title "Graph C ∗-Algebras, and Their Relationship to Leavitt Path Algebras" @default.
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- W2769028051 doi "https://doi.org/10.1007/978-1-4471-7344-1_5" @default.
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