The C*-algebras of infinite graphs

Authors

Neal J. Fowler, University of Newcastle
Marcelo Laca, University of Newcastle
Iain Raeburn, University of WollongongFollow

RIS ID

18834

Publication Details

Fowler, N. J., Laca, M. & Raeburn, I. (2000). The C*-algebras of infinite graphs. Proceedings of the American Mathematical Society, 128 (8), 2319-2327.

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.