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A class of C*-algebras that are prime but not primitive
| Content Provider | Semantic Scholar |
|---|---|
| Author | Abrams, Gene Tomforde, Mark |
| Copyright Year | 2013 |
| Abstract | We establish necessary and sufficient conditions on a (not necessarily countable) graph E for the graph C*-algebra C*(E) to be primitive. Along with a known characterization of the graphs E for which C*(E) is prime, our main result provides us with a systematic method for easily producing large classes of (necessarily nonseparable) C*-algebras that are prime but not primitive. We also compare and contrast our results with similar results for Leavitt path algebras. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1306.6669v2.pdf |
| Alternate Webpage(s) | https://repositorium.uni-muenster.de/document/miami/a9908115-708a-490e-a109-c4e60adb44ef/mjm_2014_7_489-514.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
