The -algebras of infinite graphs

Authors:
Neal J. Fowler, Marcelo Laca and Iain Raeburn

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2319-2327

MSC (1991):
Primary 46L55

DOI:
https://doi.org/10.1090/S0002-9939-99-05378-2

Published electronically:
December 8, 1999

MathSciNet review:
1670363

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Abstract | References | Similar Articles | Additional Information

Abstract: We associate -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:
https://doi.org/10.1090/S0002-9939-99-05378-2

Received by editor(s):
September 11, 1998

Published electronically:
December 8, 1999

Additional Notes:
This research was supported by the Australian Research Council.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society