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Social and Behavioral Sciences Commons™
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Full-Text Articles in Social and Behavioral Sciences
The C*-Algebras Of Row-Finite Graphs, Teresa Bates, David Pask, Iain Raeburn, Wojciech Szymanski
The C*-Algebras Of Row-Finite Graphs, Teresa Bates, David Pask, Iain Raeburn, Wojciech Szymanski
Faculty of Engineering and Information Sciences - Papers: Part A
We prove versions of the fundamental theorems about Cuntz-Krieger algebras for the C*-algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many edges. Special cases of these results have previously been obtained using various powerful machines; our main point is that direct methods yield sharper results more easily.
The C*-Algebras Of Infinite Graphs, Neal J. Fowler, Marcelo Laca, Iain Raeburn
The C*-Algebras Of Infinite Graphs, Neal J. Fowler, Marcelo Laca, Iain Raeburn
Faculty of Engineering and Information Sciences - Papers: Part A
We associate C*-algebras to infinite directed graphs that are not necessarily locally finite. By realizing these algebras as Cuntz-Krieger algebras in the sense of Exel and Laca, we are able to give criteria for their uniqueness and simplicity, generalizing results of Kumjian, Pask, Raeburn, and Renault for locally finite directed graphs.