Abstract
We describe the status quo of the classification problem of graph C ∗-algebras with four primitive ideals or less.
Keywords
Mathematics Subject Classification (2010): 46L80, 19K35.
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Notes
- 1.
See Remark 1 for a discussion about the direction of the arrows.
- 2.
The space 4.E was forgotten on page 230 of [29]
- 3.
- 4.
Here we specify how we view the algebras as algebras over a ← b → c by providing a continuous map from the primitive ideal space to {a, b, c}
- 5.
Here we specify how we view the algebras as algebras over a → b ← c by providing a continuous map from the primitive ideal space to {a, b, c}
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Acknowledgements
We gratefully acknowledge support from the NordForsk Research Network “Operator Algebra and Dynamics” (grant #11580) and the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).
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Eilers, S., Restorff, G., Ruiz, E. (2013). Classification of Graph C ∗-Algebras with No More than Four Primitive Ideals. In: Carlsen, T., Eilers, S., Restorff, G., Silvestrov, S. (eds) Operator Algebra and Dynamics. Springer Proceedings in Mathematics & Statistics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39459-1_5
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