The 𝐶*-algebras of infinite graphs

Fowler, Neal; Laca, Marcelo; Raeburn, Iain

doi:10.1090/S0002-9939-99-05378-2

The $C^\ast$-algebras of infinite graphs
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by Neal J. Fowler, Marcelo Laca and Iain Raeburn PDF

Proc. Amer. Math. Soc. 128 (2000), 2319-2327 Request permission

Abstract:

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.

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