On certain Cuntz-Pimsner algebras
| dc.creator | Kumjian, Alex | |
| dc.date | 2001-08-29 | |
| dc.date.accessioned | 2026-07-07T04:43:09Z | |
| dc.date.available | 2026-07-07T04:43:09Z | |
| dc.description | Let $A$ be a separable unital C*-algebra and let $π: A \ra \Lc(\Hf)$ be a faithful representation of $A$ on a separable Hilbert space $\Hf$ such that $π(A) \cap \Kc(\Hf) = \{0 \}$. We show that $\Oc_E$, the Cuntz-Pimsner algebra associated to the Hilbert $A$-bimodule $E = \Hf \ot_{\C} A$, is simple and purely infinite. If $A$ is nuclear and belongs to the bootstrap class to which the UCT applies, then the same applies to $\Oc_E$. Hence by the Kirchberg-Phillips Theorem the isomorphism class of $\Oc_E$ only depends on the $K$-theory of $A$ and the class of the unit. | |
| dc.description | amslatex, 10 pages, submitted to PJM | |
| dc.identifier | https://arxiv.org/abs/math/0108194 | |
| dc.identifier | http://arxiv.org/abs/math/0108194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62096 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L55 | |
| dc.title | On certain Cuntz-Pimsner algebras | |
| dc.type | text |