The ideal structure of the C*-algebras of infinite graphs
Teresa Bates, Jeong Hee Hong, Iain Raeburn, Wojciech Szymanski
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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