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The $C^*$-algebras of infinite graphs

Author(s): Neal J. Fowler; Marcelo Laca; Iain Raeburn
Journal: Proc. Amer. Math. Soc. 128 (2000), 2319-2327.
MSC (1991): Primary 46L55
Posted: December 8, 1999
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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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Additional Information:

Neal J. Fowler
Affiliation: Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
Email: neal@math.newcastle.edu.au

Marcelo Laca
Affiliation: Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
Email: marcelo@math.newcastle.edu.au

Iain Raeburn
Affiliation: Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
Email: iain@math.newcastle.edu.au

DOI: 10.1090/S0002-9939-99-05378-2
PII: S 0002-9939(99)05378-2
Received by editor(s): September 11, 1998
Posted: December 8, 1999
Additional Notes: This research was supported by the Australian Research Council.
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society

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