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The ideal structure of the C*-algebras of infinite graphs

Teresa Bates·Jeong Hee Hong·Iain Raeburn·Wojciech Szymanski
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Abstract

We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariant primitive ideals in terms of the structural properties of the graph, and describe the K-theory of the C*-algebras of arbitrary infinite graphs.

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Teresa Bates, Jeong Hee Hong, Iain Raeburn, Wojciech Szymanski. 2001-09-20. The ideal structure of the C*-algebras of infinite graphs. https://arxiv.org/abs/math/0109142

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