Journal of Operator Theory

Volume 57, Issue 2, Spring 2007 pp. 347-374.

Graph-based models for Kirchberg algebras

Authors: Jack Spielberg
Author institution: Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804

Summary: We give a construction of Kirchberg algebras from graphs. By using product graphs in the construction we are able to provide models for general (UCT) Kirchberg algebras while maintaining the explicit generators and relations of the underlying graphs.

Keywords: Simple purely infinite \cstar-algebra, Kirchberg algebra, K-theory, automorphism group, graph algebra

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