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arXiv · 1402.6020

The prime spectrum and primitive ideal space of a graph C*-algebra

Gene Abrams·Mark Tomforde
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Abstract

We describe primitive and prime ideals in the C*-algebra C*(E) of a graph E satisfying Condition (K), together with the topologies on each of these spaces. In particular, we find that primitive ideals correspond to the set of maximal tails disjoint union the set of finite-return vertices, and that prime ideals correspond to the set of clusters of maximal tails disjoint union the set of finite-return vertices.

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Gene Abrams, Mark Tomforde. 2014-02-25. The prime spectrum and primitive ideal space of a graph C*-algebra. https://arxiv.org/abs/1402.6020

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